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Numerical solution of nonlinear multi-term fractional differential equations based on spline Riesz wavelets

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  • Tang, Wei
  • Xu, Da

Abstract

In this article, a direct method for the numerical solution of multi-term fractional differential equations is proposed. The method is based on transforming the original equation into an equivalent system of multi-order fractional equations. This system is discretized by fractional derivatives of Riesz spline wavelets and the collocation method. Then the original problem is transformed into a system of algebraic equations and can be easily solved. Finally, several numerical examples and comparisons with other methods are provided to demonstrate the efficiency and accuracy of our approach.

Suggested Citation

  • Tang, Wei & Xu, Da, 2025. "Numerical solution of nonlinear multi-term fractional differential equations based on spline Riesz wavelets," Applied Mathematics and Computation, Elsevier, vol. 496(C).
    • Handle: RePEc:eee:apmaco:v:496:y:2025:i:c:s0096300325000864
    DOI: 10.1016/j.amc.2025.129359
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