Scholarlink

<p>In this paper, we use nonuniform Haar wavelets to find a numerical solution of a two-parameter singularly perturbed boundary value problem with discontinuous convection coefficient and source term. Solutions to such problems have strong interior layers due to discontinuity. Classical numerical methods fail to solve problems due to strong interior and boundary layers. We used nonuniform Haar wavelets (NUHWs) to resolve the layers on the Shishkin mesh. We analyze the method for stability and convergence and test on two test problems. We observe that the method provides high accuracy with low resolutions, which demonstrates its efficiency. The proposed method can be easily implemented in any programming language and is computationally efficient.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Haar wavelet based numerical approach for a two-parameter singularly perturbed boundary value problem with discontinuity in convection coefficient and source term

  • 期刊论文

  • 发表日期：

    2025年1月27日

查看全文
  • Pramod Chakravarthy Podila,
  • Vishwas Sundrani

摘要

In this paper, we use nonuniform Haar wavelets to find a numerical solution of a two-parameter singularly perturbed boundary value problem with discontinuous convection coefficient and source term. Solutions to such problems have strong interior layers due to discontinuity. Classical numerical methods fail to solve problems due to strong interior and boundary layers. We used nonuniform Haar wavelets (NUHWs) to resolve the layers on the Shishkin mesh. We analyze the method for stability and convergence and test on two test problems. We observe that the method provides high accuracy with low resolutions, which demonstrates its efficiency. The proposed method can be easily implemented in any programming language and is computationally efficient.