Numerical solution of system of nonlinear second-order integro-differential equations

DOI10.1016/j.camwa.2010.05.005zbMath1201.65138OpenAlexW2045375851MaRDI QIDQ611344

M. G. Ali Abadi, M. Zarebnia

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.05.005

zbMATH Keywords

collocation methodboundary value problemssinc functionssecond-orderVolterraFredholmequations systemnonlinear integro-differential

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (13)

Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems ⋮ Numerical solution of the system of second-order integro-differential equations using non-classical double sinc method ⋮ A solution to a nonlinear Fredholm integro-differential equation ⋮ Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method ⋮ Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets ⋮ Application of rational second kind Chebyshev functions for system of integrodifferential equations on semi-infinite intervals ⋮ An iterative scheme for solving systems of nonlinear Fredholm integrodifferential equations ⋮ Systems of nonlinear Volterra integro-differential equations ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations ⋮ A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions ⋮ On the sinc-Galerkin method for triharmonic boundary-value problems ⋮ A new solution method for nonlinear fractional integro-differential equations

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