کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758530 | 896437 | 2011 | 9 صفحه PDF | دانلود رایگان |
In this paper, the pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the pseudo-spectral differentiation matrix of fractional order is derived. Then, by using pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations. Through several numerical examples, we evaluate the accuracy and performance of our proposed method.
Research highlights
► We consider the numerical solution of three-term fractional differential equations.
► We approximate the unknown solution with a finite sum with unknown coefficients.
► We introduce a method for driving the Pseudo-spectral fractional derivative matrix.
► The problem is reduced to a linear algebraic equation which can be easily solved.
► The method is applied on some examples and the results are reported and compared.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 9, September 2011, Pages 3646–3654