Kareem T. Elgindy

26 papers Journal 26
YearRankTypeTitle / Venue / Authors
2026 J jnl
A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two-Dimensional Partial Volterra Integral Equations.
Int. J. Math. Math. Sci.
S. S. Gholami, Ali Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy
2025 J jnl
Fourier-Gegenbauer Integral Galerkin Method for Solving the Advection-Diffusion Equation with Periodic Boundary Conditions.
Comput.
Kareem T. Elgindy
2025 J jnl
Fourier-Gegenbauer Integral-Galerkin Method for Solving the Advection-Diffusion Equation With Periodic Boundary Conditions.
CoRR
Kareem T. Elgindy
2025 J jnl
Hybrid Shifted Gegenbauer Integral-Pseudospectral Method for Solving Time-Fractional Benjamin-Bona-Mahony-Burgers Equation.
CoRR
Kareem T. Elgindy
2025 J jnl
Optimal Periodic Control of Unmanned Aerial Vehicles Based on Fourier Integral Pseudospectral and Edge-Detection Methods.
Unmanned Syst.
Kareem T. Elgindy
2025 J jnl
Super-Exponential Approximation of the Riemann-Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods.
Algorithms
Kareem T. Elgindy
2025 J jnl
Super-Exponential Approximation of the Riemann-Liouville Fractional Integral via Shifted Gegenbauer Pseudospectral Methods.
CoRR
Kareem T. Elgindy
2025 J jnl
The Numerical Approximation of Caputo Fractional Derivative of Higher Orders Using A Shifted Gegenbauer Pseudospectral Method: Two-Point Boundary Value Problems of the Bagley Torvik Type Case Study.
CoRR
Kareem T. Elgindy
2024 J jnl
Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials.
Math. Comput. Simul.
Kareem T. Elgindy, Hareth M. Refat
2024 J jnl
Fourier-Gegenbauer pseudospectral method for solving periodic fractional optimal control problems.
Math. Comput. Simul.
Kareem T. Elgindy
2024 J jnl
Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions.
Math. Comput. Simul.
Kareem T. Elgindy
2023 J jnl
Fourier-Gegenbauer Pseudospectral Method for Solving Periodic Fractional Optimal Control Problems.
CoRR
Kareem T. Elgindy
2023 J jnl
Fourier-Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems.
CoRR
Kareem T. Elgindy
2023 J jnl
Fourier-Gegenbauer Pseudospectral Method for Solving Time-Dependent One-Dimensional Fractional Partial Differential Equations with Variable Coefficients and Periodic Solutions.
CoRR
Kareem T. Elgindy
2022 J jnl
A Direct Integral Pseudospectral Method for Solving a Class of Infinite-Horizon Optimal Control Problems Using Gegenbauer Polynomials and Certain Parametric Maps.
CoRR
Kareem T. Elgindy, Hareth M. Refat
2022 J jnl
High-order numerical solution of viscous Burgers' equation using an extended Cole-Hopf barycentric Gegenbauer integral pseudospectral method.
Int. J. Comput. Math.
Sayed A. Dahy, Kareem T. Elgindy
2022 J jnl
New Optimal Periodic Control Policy for the Optimal Periodic Performance of a Chemostat Using a Fourier-Gegenbauer-Based Predictor-Corrector Method.
CoRR
Kareem T. Elgindy
2020 J jnl
High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations.
J. Comput. Appl. Math.
Kareem T. Elgindy, Hareth M. Refat
2019 J jnl
A high-order embedded domain method combining a Predictor-Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains.
J. Comput. Appl. Math.
Kareem T. Elgindy
2019 J jnl
High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation.
Int. J. Comput. Math.
Kareem T. Elgindy, Bülent Karasözen
2013 J jnl
Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method.
J. Comput. Appl. Math.
Kareem T. Elgindy, Kate Amanda Smith-Miles
2013 J jnl
On the optimization of Gegenbauer operational matrix of integration.
Adv. Comput. Math.
Kareem T. Elgindy, Kate Smith-Miles
2013 J jnl
Optimal Gegenbauer quadrature over arbitrary integration nodes.
J. Comput. Appl. Math.
Kareem T. Elgindy, Kate Amanda Smith-Miles
2013 J jnl
Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices.
J. Comput. Appl. Math.
Kareem T. Elgindy, Kate Smith-Miles
2009 J jnl
Generation of higher order pseudospectral integration matrices.
Appl. Math. Comput.
Kareem T. Elgindy
2008 J jnl
A new robust line search technique based on Chebyshev polynomials.
Appl. Math. Comput.
Kareem T. Elgindy, Abdel-Rahman Hedar