Operational Tau method for nonlinear multi-order FDEs

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 4، شماره 2 - شماره پیاپی 6، 2014، صفحه 43-55   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v4i2.33577

نویسنده

P. Mokhtary^*

Department of Mathematics, Sahand University of Technology, Tabriz, Iran.

چکیده

This paper presents an operational formulation of the Tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order fractional differential equations(FDEs). The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of non-linear algebraic equations. Some numerical examples are provided to demonstrate the validity and applicability of the method.

کلیدواژه‌ها

Fractional differential equations(FDEs)؛ Caputo derivative؛ Operational Tau method

مراجع