Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid

• 作者: Mustafa GüLSU Yal?n ?ZTüRK
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: SINGULAR PERTURBATION PROBLEMS TWO-POINT Boundary Value PROBLEMS The Shifted CHEBYSHEV Polynomials Approximation METHOD Matrix METHOD
• 年，卷（期）: 2011,（4）
• 页码范围: 209-218
• 页数: 10页
• 分类号: O1

摘要

Matrix methods, now-a-days, are playing an important role in solving the real life problems governed by ODEs and/or by PDEs. Many differential models of sciences and engineers for which the existing methodologies do not give reliable results, these methods are solving them competitively. In this work, a matrix methods is presented for approximate solution of the second-order singularly-perturbed delay differential equations. The main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifying the problem. The error analysis and convergence for the proposed method is introduced. Finally some experiments and their numerical solutions are given.