A new Taylor collocation method for nonlinear Fredholm‐Volterra integro‐differential equations

DOI10.1002/num.20470zbMath1197.65222OpenAlexW2119931851MaRDI QIDQ5747606

Berna Bülbül, Mustafa Gülsu, Mehmet Sezer

Publication date: 14 September 2010

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20470

zbMATH Keywords

collocation methodnumerical experimentsnonlinear integro-differential equationssystem of nonlinear algebraic equationsTaylor polynomials and series\texttt{Maple10}

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (5)

A numerical approach for solving generalized Abel-type nonlinear differential equations ⋮ Convergence and error estimation of weighted finite volume scheme for coagulation‐fragmentation equation ⋮ A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations ⋮ Generalized Taylor polynomials for axisymmetric plates and shells ⋮ A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays

Cites Work

• Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
• Solving linear integro-differential equation system by Galerkin methods with hybrid functions
• Variational iteration method for solving integro-differential equations
• A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains
• Solution of a system of Volterra integral equations of the first kind by Adomian method
• Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Restarted Adomian method for system of nonlinear Volterra integral equations
• Solving linear integro-differential equations system by using rationalized Haar functions method
• Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
• A Taylor expansion approach for solving integral equations
• Taylor polynomial solutions of Volterra integral equations

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