Computational methods for integral equations
Computational methods for integral equations
Homotopy perturbation method: a new nonlinear analytical technique
Applied Mathematics and Computation
Solution of a system of Volterra integral equations of the first kind by Adomian method
Applied Mathematics and Computation
Solutions of two-dimensional integral equation systems by using differential transform method
AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Systems of nonlinear Volterra integro-differential equations
Numerical Algorithms
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In this study, differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of known functions, this powerful method catches the exact solution. So as to show this capability and robustness, some systems of integral and integro-differential equations are solved as numerical examples.