Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients

• 作者: Noopur Khosla Ranjan K. Mohanty Vijay Dahiya
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: SPLINE in Compressions Parabolic Equations TWO-LEVEL IMPLICIT Schemes SINGULAR Perturbation SINGULAR Coefficients RMS Errors
• 年，卷（期）: 2012,（2）
• 页码范围: 70-77
• 页数: 8页
• 分类号: O1

摘要

In this article, we discuss three difference schemes;for the numerical solution of singularity perturbed 1-D parabolic equations with singular coefficients using spline in compression. The proposed methods are of accurate and applicable to problems in both cases singular and non-singular. Stability theory of a proposed method has been discussed and numerical examples have been given in support of the theoretical results.