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<p>In this article, we are redeveloping the Chebyshev wavelet collocation method by making some significant modifications. First, we produced an operational matrix of integration and an associated vector in generalised form. We also discussed error bounds to demonstrate the convergence analysis of our proposed method. We considered some test examples to investigate the accuracy of our proposed method and compared the numerical solutions obtained by different methods, numerically and graphically.</p>

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An improved Chebyshev wavelet collocation method for solving linear and nonlinear differential equations

  • 期刊论文

  • 发表日期：

    2025年8月18日

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  • Mohit Verma,
  • Abdullah Abdullah,
  • Ayub Khan,
  • Kottakkaran Sooppy Nisar

摘要

In this article, we are redeveloping the Chebyshev wavelet collocation method by making some significant modifications. First, we produced an operational matrix of integration and an associated vector in generalised form. We also discussed error bounds to demonstrate the convergence analysis of our proposed method. We considered some test examples to investigate the accuracy of our proposed method and compared the numerical solutions obtained by different methods, numerically and graphically.