Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

被引:21
作者
Tenreiro Machado, Jose Antonio [1 ]
Babaei, Afshin [2 ]
Moghaddam, Behrouz Parsa [3 ]
机构
[1] Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Oporto, Portugal
[2] Univ Mazandaran, Dept Math, Pasdaran St,POB 47416 95447, Babol Sar, Iran
[3] Islamic Azad Univ, Lahijan Branch, Dept Math, Shaghayegh St,POB 1616, Lahijan, Iran
关键词
Weighted reduced differential transform method; Burgers-Huxley equation; Cauchy problem; DIFFERENTIAL TRANSFORM METHOD; NUMERICAL-SOLUTION; SOLVE;
D O I
10.12700/APH.13.6.2016.6.10
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, a weighted algorithm, based on the reduced differential transform method, is introduced. The new approach is adopted in the approximate analytical solution of the Cauchy problem for the Burgers-Huxley equation. The proposed scheme considers the initial and boundary conditions simultaneously for obtaining a solution of the equation. Several examples are discussed demonstrating the performance of the algorithm.
引用
收藏
页码:183 / 195
页数:13
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