A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis

A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions

(2020) Mahmoud A. Zaky et al.   ENGINEERING WITH COMPUTERS

Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

(2020) Mahmoud A. Zaky et al.   JOURNAL OF SCIENTIFIC COMPUTING

Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of Hammerstein type

(2020) Sohrab Bazm et al.   computational and applied mathematics

Convergence analysis of a Legendre spectral collocation method for nonlinear Fredholm integral equations in multidimensions

(2020) Mahmoud A. Zaky et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

(2020) Mahmoud A. Zaky   APPLIED NUMERICAL MATHEMATICS

Chebyshev spectral methods for multi-order fractional neutral pantograph equations

(2020) S. S. Ezz-Eldien et al.   NONLINEAR DYNAMICS

Applying the three‐dimensional block‐pulse functions to solve system of Volterra–Hammerstein integral equations

(2020) Jiaquan Xie et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system

(2020) A. R. Yaghoobnia et al.   COMPUTATIONAL & APPLIED MATHEMATICS

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

(2020) Ahmed S. Hendy et al.   APPLIED NUMERICAL MATHEMATICS

Numerical solutions of system of two-dimensional Volterra integral equations via Legendre wavelets and convergence

(2020) Akram Karimi et al.   APPLIED NUMERICAL MATHEMATICS

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

(2020) Mahmoud A. Zaky et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach

(2020) Nasrin Samadyar et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On Romanovski–Jacobi polynomials and their related approximation results

(2020) Howayda Abo‐Gabal et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

(2020) Mahmoud A. Zaky et al.   APPLIED NUMERICAL MATHEMATICS

Shifted Jacobi–Gauss-collocation with convergence analysis for fractional integro-differential equations

(2019) E.H. Doha et al.   Communications in Nonlinear Science and Numerical Simulation

A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

(2019) Mahmoud A. Zaky et al.   NUMERICAL ALGORITHMS

Solution of multi-dimensional Fredholm equations using Legendre scaling functions

(2019) Harendra Singh et al.   APPLIED NUMERICAL MATHEMATICS

A new reproducing kernel method with higher convergence order for solving a Volterra–Fredholm integral equation

(2019) Hong Du et al.   APPLIED MATHEMATICS LETTERS

Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra–Fredholm integral equations

(2019) K. Maleknejad et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fast and precise spectral method for solving pantograph type Volterra integro-differential equations

(2018) S. S. Ezz-Eldien et al.   NUMERICAL ALGORITHMS

Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations

(2018) K. Maleknejad et al.   APPLIED NUMERICAL MATHEMATICS

Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations

(2017) Mohamed A. Abdelkawy et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Solving system of Volterra–Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions

(2017) Esmail Hesameddini et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Spectral technique for solving variable-order fractional Volterra integro-differential equations

(2017) E. H. Doha et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions

(2015) A.H. Bhrawy et al.   APPLIED MATHEMATICAL MODELLING

Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules

(2011) S. Bazm et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical method for analysis of one- and two-dimensional electromagnetic scattering based on using linear Fredholm integral equation models

(2011) Saeed Hatamzadeh-Varmazyar et al.   MATHEMATICAL AND COMPUTER MODELLING

Applications of two-dimensional triangular functions for solving nonlinear class of mixed Volterra–Fredholm integral equations

(2011) K. Maleknejad et al.   MATHEMATICAL AND COMPUTER MODELLING

A fast numerical solution method for two dimensional Fredholm integral equations of the second kind

(2009) Wen-Jing Xie et al.   APPLIED NUMERICAL MATHEMATICS

Molecular Recognition in Biomolecules Studied by Statistical-Mechanical Integral-Equation Theory of Liquids

(2008) Norio Yoshida et al.   JOURNAL OF PHYSICAL CHEMISTRY B

Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions

(2007) Y. Ordokhani et al.   APPLIED MATHEMATICS LETTERS