Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation

被引：7

作者：

Wasim, Imtiaz ^{[1
]}

Abbas, Muhammad ^{[1
]}

Iqbal, Muhammad Kashif ^{[2
]}

Hayat, Afzaal Mubashir ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[2] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan

[3] Natl Coll Business Adm & Econ, Dept Math, Lahore 54660, Pakistan

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2020年 / 20卷 / 04期

关键词：

Non-linear generalized Newell-Whitehead-Segel equation; exponential B-spline collocation method; convergence; stability; NUMERICAL-SOLUTION; FORMS;

D O I：

10.22436/jmcs.020.04.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we present a collocation method based on exponential basis spline functions for solving generalized Newell-Whitehead-Segel equation. The time derivative is discretized by finite difference scheme and the exponential basis spline functions are employed to interpolate spatial derivatives. The convergence and stability of the proposed algorithm are established. Numerical results demonstrate the accuracy of the proposed method.

引用

页码：313 / 324

页数：12

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