The method of finding solutions of partial dynamic equations on time scales

被引：2
|
作者：
Liu, Hsuan-Ku [1 ]
机构：
[1] Natl Taipei Univ Educ, Dept Math & Informat Educ, Taipei, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
partial dynamic equations on time scales; nonlinear q-difference equation; variational iterative method; approximate solutions; VARIATIONAL ITERATION METHOD; DIFFUSION;
D O I：
10.1186/1687-1847-2013-141
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On time scales, one area lacking of development is the method of finding solutions on partial dynamic equations. This paper proposes a method for finding the exact solution of linear partial dynamic equations on arbitrage time scales. We modify the variational iteration method on a"e to find an approximation of the nonlinear partial dynamic equation on . As an example, the modified variational iteration method is applied to q-Berger equations and to q-Fisher equations. Their numerical results reveal that the proposed method is very effective.
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页数：16
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