Approximate analytical solution of singularly perturbed boundary value problems in MAPLE

被引：7
|
作者：
El-Zahar, Essam R. [1 ,2 ]
机构：
[1] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
[2] Menoufia Univ, Fac Engn, Dept Basic Engn Sci, Shibin Al Kawm 32511, Egypt
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
关键词：
singularly perturbed boundary value problems; initial-value algorithms; mechanization; ALGORITHM;
D O I：
10.3934/math.2020150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on a new initial value method, an approximate analytical solution of singularly perturbed boundary value problems is obtained using a new and simple Maple program spivp. The algorithm is designed for practicing engineers or applied mathematicians who need a practical tool for solving these problems. Some examples are solved to illustrate the implementation of the program and the accuracy of the algorithm. Analytical and numerical results are compared with results in literature. The results confirm that the present method is accurate and offers a simple and easy practical tool for obtaining approximate analytical and numerical solutions of singularly perturbed boundary value problems.
引用
收藏
页码：2272 / 2284
页数：13
相关论文
共 50 条
12345