Article ID Journal Published Year Pages File Type
5775687 Applied Mathematics and Computation 2017 10 Pages PDF
Abstract
In this paper, we proposed a new numerical scheme to solve the time fractional nonlinear Klein-Gordon equation. The fractional derivative is described in the Caputo sense. The method consists of expanding the required approximate solution as the elements of Sinc functions along the space direction and shifted Chebyshev polynomials of the second kind for the time variable. The proposed scheme reduces the solution of the main problem to the solution of a system of nonlinear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces accurate results.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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