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Numerical Solution Of Fractional Boundary Value Problems By Using Chebyshev Wavelet

Author

Listed:
  • Hassan Khan

    (Department of Mathematics, Abdulwali Khan University Mardan, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdulwali Khan University Mardan, Pakistan)

  • Syed Tauseef Mohyud-Din

    (Department of Mathematics, Abdulwali Khan University Mardan, Pakistan)

Abstract

In this paper Chebyshev Wavelets Method (CWM) is applied to obtain the numerical solutions of fractional fourth, sixth and eighth order linear and nonlinear boundary value problems. The solutions of the fractional order problems are shown to be convergent to the integer order solution of that problem. The computational work is done successfully with the help of the proposed algorithm and hence this algorithm can be extended to other physical problems. High level of accuracy is obtained by the present method.

Suggested Citation

  • Hassan Khan & Muhammad Arif & Syed Tauseef Mohyud-Din, 2019. "Numerical Solution Of Fractional Boundary Value Problems By Using Chebyshev Wavelet," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 3(1), pages 13-16, March.
    • Handle: RePEc:zib:zbmsmk:v:3:y:2019:i:1:p:13-16
    DOI: 10.26480/msmk.01.2019.13.16
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    Cited by:

    1. Muhammad Ismail & Umer Saeed & Jehad Alzabut & Mujeeb ur Rehman, 2019. "Approximate Solutions for Fractional Boundary Value Problems via Green-CAS Wavelet Method," Mathematics, MDPI, vol. 7(12), pages 1-20, December.

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