A new differential transformation approach for two-dimensional Volterra integral equations

DOI10.1080/00207160701224712zbMath1122.65131OpenAlexW2137688187MaRDI QIDQ5297942

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Publication date: 16 July 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701224712

zbMATH Keywords

two-dimensional differential transformationlinear and nonlinear two-dimensional Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (9)

Numerical treatment of singular integral equation in unbounded domain ⋮ Two-dimensional wavelets for numerical solution of integral equations ⋮ A computational method for solving a class of two dimensional Volterra integral equations ⋮ Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet ⋮ Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations ⋮ New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations ⋮ Application of 2D-bpfs to nonlinear integral equations ⋮ Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation

Cites Work

• Bounds for the solution of hyperbolic problems
• Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation
• A rigid elliptical disc-inclusion, in an elastic solid, subjected to a polynomial normal shift
• Solving partial differential equations by two-dimensional differential transform method
• Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations
• Two-dimensional differential transform for partial differential equations
• On solving some eigenvalue problems by using a differential transformation
• Different applications for the differential transformation in the differential equations
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Applications of differential transform methods to differential-algebraic equations
• The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated Collocation
• On solving the initial-value problems using the differential transformation method

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