R. K. Mohanty

92 papers Journal 92
YearRankTypeTitle / Venue / Authors
2026 J jnl
A new third-order accurate spline-in-tension method for nonlinear two-point boundary value problems on a graded mesh with Robin boundary conditions.
Comput. Appl. Math.
Ankit Pandey, R. K. Mohanty
2025 J jnl
High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations.
Numer. Algorithms
Divya Sharma, Kajal Mittal, Deepti Kaur, Rajendra K. Ray, R. K. Mohanty
2024 J jnl
High-order half-step compact numerical approximation for fourth-order parabolic PDEs.
Numer. Algorithms
Deepti Kaur, R. K. Mohanty
2023 J jnl
High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation.
Soft Comput.
R. K. Mohanty, Bishnu Pada Ghosh, Gunjan Khurana
2023 J jnl
Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems.
Comput. Math. Appl.
R. K. Mohanty, Niranjan
2022 J jnl
A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions.
Soft Comput.
Nikita Setia, R. K. Mohanty
2022 J jnl
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation.
Comput. Appl. Math.
R. K. Mohanty, Bishnu Pada Ghosh
2022 J jnl
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation.
Comput. Math. Appl.
R. K. Mohanty, Bishnu Pada Ghosh, Urvashi Arora
2021 J jnl
A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers' equations and Burgers-Huxley equation.
Eng. Comput.
R. K. Mohanty, Sachin Sharma
2021 J jnl
A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications.
Eng. Comput.
R. K. Mohanty, Sachin Sharma
2021 J jnl
A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions.
Soft Comput.
Nikita Setia, R. K. Mohanty
2021 J jnl
Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh.
Eng. Comput.
R. K. Mohanty, Bishnu Pada Ghosh
2021 J jnl
High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain.
Soft Comput.
Ishaani Priyadarshini, R. K. Mohanty
2021 J jnl
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem.
Comput. Appl. Math.
R. K. Mohanty, Bishnu Pada Ghosh, Sean McKee
2020 J jnl
A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems.
Eng. Comput.
R. K. Mohanty, Sachin Sharma
2020 J jnl
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation.
Appl. Math. Comput.
Deepti Kaur, R. K. Mohanty
2019 J jnl
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations.
Appl. Math. Comput.
R. K. Mohanty, Deepti Kaur, Swarn Singh
2019 J jnl
Local meshless method for convection dominated steady and unsteady partial differential equations.
Eng. Comput.
Vikendra Singh, Siraj-ul-Islam, R. K. Mohanty
2017 J jnl
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation.
Appl. Math. Comput.
R. K. Mohanty, Sean McKee, Deepti Kaur
2017 J jnl
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation.
Numer. Algorithms
R. K. Mohanty, Deepti Kaur
2016 J jnl
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh.
Int. J. Comput. Math.
Jyoti Talwar, R. K. Mohanty, Swarn Singh
2016 J jnl
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations.
Appl. Math. Comput.
R. K. Mohanty, Deepti Kaur
2016 J jnl
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form.
Appl. Math. Comput.
Manoj Kumar Jain, Sachin Sharma, R. K. Mohanty
2015 J jnl
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion.
Int. J. Comput. Math.
R. K. Mohanty, Weizhong Dai, Fei Han
2015 J jnl
A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations.
Comput. Math. Appl.
R. K. Mohanty, Nikita Setia
2015 J jnl
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh.
Appl. Math. Comput.
Jyoti Talwar, R. K. Mohanty, Swarn Singh
2015 J jnl
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations.
Appl. Math. Comput.
R. K. Mohanty, Weizhong Dai, Fei Han
2015 J jnl
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh.
Appl. Math. Lett.
R. K. Mohanty, Sean McKee
2015 J jnl
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation.
Numer. Algorithms
R. K. Mohanty, Weizhong Dai, Don Liu
2014 J jnl
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations.
Appl. Math. Comput.
R. K. Mohanty, Ravindra Kumar
2014 J jnl
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations.
Appl. Math. Comput.
R. K. Mohanty, Suruchi Singh, Swarn Singh
2014 J jnl
A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation.
Int. J. Model. Simul. Sci. Comput.
Jyoti Talwar, R. K. Mohanty
2014 J jnl
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term.
Appl. Math. Comput.
R. K. Mohanty, Venu Gopal
2013 J jnl
Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System.
Adv. Numer. Anal.
Navnit Jha, R. K. Mohanty, Vinod Chauhan
2013 J jnl
New Nonpolynomial Spline in Compression Method of O(k
Adv. Numer. Anal.
Venu Gopal, R. K. Mohanty, Navnit Jha
2012 J jnl
A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates.
Adv. Numer. Anal.
Jyoti Talwar, R. K. Mohanty
2012 J jnl
A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems.
Appl. Math. Comput.
R. K. Mohanty, Jyoti Talwar
2012 J jnl
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations.
Appl. Math. Comput.
R. K. Mohanty, Nikita Setia
2012 J jnl
High accuracy Arithmetic Average Type discretization for the solution of two-Space dimensional nonlinear wave equations.
Int. J. Model. Simul. Sci. Comput.
R. K. Mohanty, Venu Gopal
2011 J jnl
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations.
Appl. Math. Comput.
R. K. Mohanty, Venu Gopal
2011 J jnl
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations.
Appl. Math. Comput.
Navnit Jha, R. K. Mohanty
2009 J jnl
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations.
Appl. Math. Comput.
Dinesh Khattar, Swarn Singh, R. K. Mohanty
2009 J jnl
A variable mesh C-SPLAGE method of accuracy O(k
Appl. Math. Comput.
R. K. Mohanty
2009 J jnl
Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems.
Int. J. Comput. Math.
Navnit Jha, R. K. Mohanty, Bimal Kumar Mishra
2009 J jnl
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations.
Int. J. Comput. Math.
R. K. Mohanty, Manoj Kumar Jain
2009 J jnl
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations.
Int. J. Comput. Math.
R. K. Mohanty
2009 J jnl
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form.
Appl. Math. Comput.
R. K. Mohanty, Deepika Dhall
2007 J jnl
An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations.
Appl. Math. Comput.
R. K. Mohanty
2007 J jnl
An order h
Neural Parallel Sci. Comput.
P. K. Pandey, R. K. Mohanty
2007 J jnl
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms.
Appl. Math. Comput.
R. K. Mohanty
2007 J jnl
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations.
Appl. Math. Comput.
R. K. Mohanty
2007 J jnl
Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity.
Int. J. Comput. Math.
R. K. Mohanty
2006 J jnl
A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization.
Appl. Math. Comput.
R. K. Mohanty, Urvashi Arora
2006 J jnl
A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'.
Appl. Math. Comput.
R. K. Mohanty
2006 J jnl
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives.
Appl. Math. Comput.
R. K. Mohanty, Urvashi Arora
2006 J jnl
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems.
Appl. Math. Comput.
R. K. Mohanty, Swarn Singh
2006 J jnl
A new stable variable mesh method for 1-D non-linear parabolic partial differential equations.
Appl. Math. Comput.
Urvashi Arora, Samir Karaa, R. K. Mohanty
2006 J jnl
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems.
Appl. Math. Comput.
R. K. Mohanty, Noopur Khosla
2005 J jnl
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems.
Appl. Math. Comput.
R. K. Mohanty, Navnit Jha
2005 J jnl
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems.
Int. J. Comput. Math.
R. K. Mohanty, Noopur Khosla
2005 J jnl
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
2005 J jnl
An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans, Noopur Khosla
2005 J jnl
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients.
Appl. Math. Comput.
R. K. Mohanty
2005 J jnl
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients.
Appl. Math. Comput.
R. K. Mohanty
2005 J jnl
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans, Urvashi Arora
2005 J jnl
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
2005 J jnl
Non-uniform Mesh Arithmetic Average Discretization for Parabolic Initial Boundary Value Problems.
Neural Parallel Sci. Comput.
R. K. Mohanty, Swarn Singh
2005 J jnl
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity.
Int. J. Comput. Math.
David J. Evans, R. K. Mohanty
2004 J jnl
An O(h
Appl. Math. Comput.
R. K. Mohanty, P. L. Sachdev, Navnit Jha
2004 J jnl
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions.
Appl. Math. Comput.
R. K. Mohanty
2004 J jnl
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation.
Appl. Math. Lett.
R. K. Mohanty
2004 J jnl
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
2004 J jnl
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems.
Int. J. Comput. Math.
R. K. Mohanty, Navnit Jha, David J. Evans
2003 J jnl
A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
2003 J jnl
An accurate three spatial grid-point discretization of O(k
Appl. Math. Comput.
R. K. Mohanty
2003 J jnl
High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans, Dinesh Kumar
2003 J jnl
Tage Method for Nonlinear Singular Two Point Boundary Value Problem using a Fourth Order Difference Scheme.
Neural Parallel Sci. Comput.
R. K. Mohanty, P. L. Sachdev, Navnit Jha
2003 J jnl
The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
2002 J jnl
Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method.
Int. J. Comput. Math.
David J. Evans, R. K. Mohanty
2002 J jnl
An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions.
Int. J. Comput. Math.
R. K. Mohanty, Manoj Kumar Jain, Urvashi Arora
2001 J jnl
A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem.
Int. J. Comput. Math.
R. K. Mohanty, Shivani Dey
2001 J jnl
Block iterative methods for the numerical solution of three dimensional mildly non-linear biharmonic problems of first kind.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans, P. K. Pandey
2001 J jnl
Three point discretization of order four and six for (
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans, Shivani Dey
1999 J jnl
Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer.
Parallel Algorithms Appl.
R. K. Mohanty, David J. Evans
1999 J jnl
New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind.
Int. J. Comput. Math.
R. K. Mohanty, David J. Evans
1998 J jnl
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations.
Int. J. Comput. Math.
David J. Evans, R. K. Mohanty
1998 J jnl
Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind.
Int. J. Comput. Math.
R. K. Mohanty, P. K. Pandey
1996 J jnl
Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind.
Int. J. Comput. Math.
R. K. Mohanty, Manoj Kumar Jain, P. K. Pandey
1995 J jnl
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations.
Int. J. Comput. Math.
R. K. Mohanty, Kochurani George, M. K. Jain
1991 J jnl
A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms.
Int. J. Comput. Math.
Manoj Kumar Jain, R. K. Jain, R. K. Mohanty
1991 J jnl
The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method.
Int. J. Comput. Math.
Manoj Kumar Jain, R. K. Jain, R. K. Mohanty
1990 J jnl
High order difference methods for system of id nonlinear parabolic partial differential equations.
Int. J. Comput. Math.
Manoj Kumar Jain, R. K. Jain, R. K. Mohanty