A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data

详细信息    查看全文

• 作者：Chandru M. ; ^{leochandru@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Prabha T. ^{prabha.thevaraj@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Shanthi V. ^{vshanthi@nitt.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65L10 ; CR G1.7
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：11-27
• 全文大小：880 K

文摘

A singularly perturbed second order ordinary differential equation having two parameters with a discontinuous source term is presented for numerical analysis. Theoretical bounds on the derivatives, regular and singular components of the solution are derived. A hybrid monotone difference scheme with the method of averaging at the discontinuous point is constructed on Shishkin mesh. Parameter-uniform error bounds for the numerical approximation are established. Numerical results are presented which support the theoretical results.