1. A reliable modification of the rectangular decomposition method
- Author
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Odibat, Zaid M.
- Subjects
- *
DECOMPOSITION method , *MATHEMATICAL programming , *PARTIAL differential equations , *FRACTIONAL integrals - Abstract
Abstract: In this paper, we present a powerful modification of the rectangular decomposition method that is used to solve fractional diffusion-wave equations. The new modification extends the application of the rectangular decomposition method to solve a wide class of space–time fractional partial differential equations. The proposed modification gives an analytical solution in the form of a convergent series with easily computable components. Some numerical examples are given to illustrate the efficiency and reliability of the method. The new modification introduces a promising tool for many partial differential equations. [Copyright &y& Elsevier]
- Published
- 2006
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