Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials

DOI10.1016/j.cam.2017.01.030zbMath1360.65310OpenAlexW2582038227MaRDI QIDQ515799

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 March 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.01.030

zbMATH Keywords

stabilityconvergencenumerical exampleoperational matricesVolterraFredholmshifted Jacobi polynomialsmixed Volterra-Fredholmthree-dimensional integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (10)

Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions ⋮ Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations ⋮ An operational approach for solving fractional pantograph differential equation ⋮ Unnamed Item ⋮ On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations ⋮ Solution of weakly singular fractional integro-differential equations by using a new operational approach ⋮ Alternative Legendre polynomials method for nonlinear fractional integro-differential equations with weakly singular kernel ⋮ Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation ⋮ Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels ⋮ Approximating the solution of three-dimensional nonlinear Fredholm integral equations

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