Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations

DOI10.1016/j.camwa.2011.03.007zbMath1221.65344OpenAlexW1972322259MaRDI QIDQ639075

Abolfazl Tari, Sedaghat Shahmorad

Publication date: 18 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.007

zbMATH Keywords

differential transformtwo-dimensional Volterra integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05)

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Cites Work

• Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
• On the two-dimensional differential transform method
• Solutions of the system of differential equations by differential transform method
• Solving partial differential equations by two-dimensional differential transform method
• Two-dimensional differential transform for partial differential equations
• Differential transform method for solving Volterra integral equation with separable kernels
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Applications of differential transform methods to differential-algebraic equations
• A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
• Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations
• Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations