Solution of nonlinear fractional diffusion-wave equation by traingular functions

被引：0
|
作者：
Ebadian A. [1 ]
Fazli H.R. [2 ]
Khajehnasiri A.A. [1 ]
机构：
[1] Department of Mathematics, Payame Noor University, PO Box 19395-3697, Tehran
[2] Department of Economic, Faculty of Economic and Political, Shahid Beheshti University, Tehran
来源：
SeMA Journal | 2015年 / 72卷 / 1期
关键词：
Block pulse function; Fractional calculus; Fractional diffusion-wave equation; Operational matrix; Triangular functions;
D O I：
10.1007/s40324-015-0045-x
中图分类号：
学科分类号：
摘要：
In this paper, we propose new technique for solving fractional diffusion-wave equation. This algorithm is based on Triangular Function (TFs) methods, a new fractional operational matrix of integration for the TFs is derived. The TFs and their fractional operational matrix of integration are used to transform the problem under consideration into a linear system of algebraic equations. The new technique is applied to solving two mathematical models. We show that the present approach is relatively easy, efficient and highly accurate. © 2015, Sociedad Española de Matemática Aplicada.
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页码：37 / 46
页数：9
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