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<p>In this paper, we first define the extended Jacobi wavelets using standard Jacobi wavelets and use them to approximate functions with bounded first-order derivatives. Then, the proposed wavelet method is applied to solve reaction-diffusion equations arising in mathematical chemistry, as well as certain linear, non-linear, and singular differential equations. Furthermore, we compare the numerical solutions obtained by this method with those from other wavelet methods to demonstrate the effectiveness of the proposed approach.</p>

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Extended Jacobi Wavelet Technique for the Solution of the Airy Differential Equation and Reaction Diffusion Equation Arises in Mathematical Chemistry

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • Vivek Kumar Sharma,
  • Rishi Nath Mishra

摘要

In this paper, we first define the extended Jacobi wavelets using standard Jacobi wavelets and use them to approximate functions with bounded first-order derivatives. Then, the proposed wavelet method is applied to solve reaction-diffusion equations arising in mathematical chemistry, as well as certain linear, non-linear, and singular differential equations. Furthermore, we compare the numerical solutions obtained by this method with those from other wavelet methods to demonstrate the effectiveness of the proposed approach.