Two-Dimensional Chebyshev Wavelet Method for Camassa-Holm Equation with Riesz Fractional Derivative Describing Propagation of Shallow Water Waves

• Autorzy: Gupta A. K. , Saha Ray S.

Identyfikatory

DOI

10.3233/FI-2017-1480

• Języki publikacji: EN

Abstrakty

EN

In this article, the authors present a new wavelet based method viz. Chebyshev wavelet method to compute the numerical solution of Riesz time-fractional Camassa-Holm equation. The approximate solutions of Riesz time-fractional Camassa-Holm equation thus obtained by two-dimensional Chebyshev wavelet method are compared with those obtained by analytical methods such as homotopy analysis method (HAM) and variational iteration method (VIM). The present scheme is quite simple, effective and appropriate for obtaining the numerical solution of the Riesz time-fractional Camassa-Holm equation.

Słowa kluczowe

EN

Camassa-Holm equation; Chebyshev wavelet method; Riesz fractional derivative; left Riemann-Liouville derivative; right Riemann-Liouville derivative

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 77--89
• Opis fizyczny: Bibliogr. 15 poz., tab., wykr.

Twórcy

autor

Gupta A. K.

• National Institute of Technology, Department of Mathematics, Rourkela-769008, Odisha, India

autor

Saha Ray S.

• National Institute of Technology, Department of Mathematics, Rourkela-769008, Odisha, India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).