Solving three-dimensional Volterra integral equation by the reduced differential transform method
2016
In this article, the results of two-dimensional reduced differential transform method is extended to three-dimensional case for solving three dimensional Volterra integral equation. Using the described method, the exact solution can be obtained after a few number of iterations. Moreover, examples on both linear and nonlinear Volterra integral equation are carried out to illustrate the efficiency and the accuracy of the presented method.
Keywords:
- Universal differential equation
- Mathematical optimization
- Inverse scattering transform
- Summation equation
- Laplace transform applied to differential equations
- Volterra integral equation
- Partial differential equation
- Mathematical analysis
- Two-sided Laplace transform
- Mathematics
- Integral equation
- Integro-differential equation
- Exact differential equation
- First-order partial differential equation
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