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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 08/2017, Volume 319, pp. 493 - 513
In recent years, numerical methods have been introduced to solve two-dimensional Volterra and Fredholm integral equations. In this study, a numerical scheme is... 
Three-dimensional integral equations | Shifted Jacobi polynomials | Operational matrices | Convergence | MATHEMATICS, APPLIED | SPREAD | Mechanical engineering
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 03/2017, Volume 94, Issue 3, pp. 471 - 492
In this paper, the fractional delay differential equation (FDDE) is considered for the purpose to develop an approximate scheme for its numerical solutions.... 
33C45 | delay differential equations | fractional differential equations | operational matrix | shifted Jacobi polynomials | Newton's iterative method | 34A08 | POPULATION | MATHEMATICS, APPLIED | DYNAMICS | MODEL | IDENTIFICATION | Polynomials | Differential equations | Matrices (mathematics) | Lasers | Mathematical analysis | Mathematical models | Matrix methods | Delay
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 2014, Volume 37, Issue 4, pp. 983 - 996
A new shifted Jacobi operational matrix (SJOM) of fractional integration of any order is introduced and applied together with spectral tau method for solving... 
Operational matrix | Multiterm FDEs | Riemann-Liouville derivative | Shifted Jacobi polynomials | Tau method | SYSTEM | multi-term FDEs | SERIES APPROACH | BOUNDARY-VALUE-PROBLEMS | DIFFERENTIAL-EQUATIONS | IDENTIFICATION | shifted Jacobi polynomials | CHEBYSHEV POLYNOMIALS | MATHEMATICS | ORDERS | COLLOCATION
Journal Article
Hacettepe Journal of Mathematics and Statistics, ISSN 1303-5010, 2016, Volume 45, Issue 2, pp. 311 - 335
In this paper, a numerical method is developed for solving linear and nonlinear integro-partial differential equations in terms of the two variables Jacobi... 
Operational matrix | Best approximation | Shifted Jacobi polynomials | Collocation method | Integro–partial differential equations | MATHEMATICS | NUMERICAL-SOLUTION | APPROXIMATION | VOLTERRA INTEGRODIFFERENTIAL EQUATIONS | STATISTICS & PROBABILITY | Integro-partial differential equations
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 07/2015, Volume 293, pp. 142 - 156
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2016, Volume 40, Issue 2, pp. 832 - 845
In this study, we propose shifted fractional-order Jacobi orthogonal functions (SFJFs) based on the definition of the classical Jacobi polynomials. We derive a... 
Nonlinear fractional differential equations | Tau method | Shifted fractional Jacobi polynomials | Systems of fractional differential equations | Pseudo-spectral methods | Differential equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2018, Volume 317, pp. 49 - 67
Based on Jacobi polynomials, an operational method is proposed to solve the generalized Abel’s integral equations (a class of singular integral equations).... 
Abel’s integral equation | Shifted Jacobi polynomials | Error estimation | Collocation method
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2019, Volume 78, Issue 3, pp. 889 - 904
Herein, we propose a numerical scheme to solve spectrally hyperbolic partial differential equations (HPDEs) using Galerkin method and approximate the solutions... 
Hyperbolic partial differential equations | Galerkin method | Shifted Jacobi polynomials | SYSTEM | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | VARIABLE-COEFFICIENTS | COLLOCATION METHOD | TELEGRAPH EQUATION | GAUSS-RADAU SCHEME | Methods | Differential equations | Partial differential equations | Polynomials
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2013, Volume 219, Issue 15, pp. 8042 - 8056
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 07/2017, Volume 18, Issue 5, pp. 411 - 425
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2015, Volume 279, pp. 80 - 96
In this paper, a class of linear and nonlinear functional integro-differential equations are considered that can be found in the various fields of sciences... 
Jacobi operational matrices | Operational collocation method | Shifted Jacobi polynomials | Error estimation | Functional integro-differential equations | MATHEMATICS, APPLIED | CONVERGENCE ANALYSIS | COLLOCATION METHOD | Differential equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2018, Volume 317, pp. 49 - 67
Based on Jacobi polynomials, an operational method is proposed to solve the generalized Abel's integral equations (a class of singular integral equations).... 
Shifted Jacobi polynomials | Abel's integral equation | Error estimation | Collocation method | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | WAVELETS | 1ST KIND | Plasma physics | Atmospheric physics | Analysis | Methods | Algorithms | Mechanical engineering
Journal Article
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