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New reproducing kernel Chebyshev wavelets method for solving a fractional telegraph equation

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Abstract

In this paper, a new reproducing kernel Chebyshev wavelets method of solving a fractional telegraph equation is proposed. For solving the equation, reproducing kernel Chebyshev wavelets bases is constructed based on Chebyshev polynomials with a parameter. We choose an improved differential quadrature method with fourth-order truncation error to approximate second-order derivative term of the equation. Subsequently, the fractional telegraph equation is transformed into integral equation and the best approximate solution is obtained by searching the minimum of \(\varepsilon \)-approximate solutions. It is satisfied that the accuracy of errors provided by examples is very high.

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Acknowledgements

This work was supported by Project of Enhancing School with Innovation of GuangDong Ocean University (no. Q18306), Program for Scientific Research Start-up Funds of Guangdong Ocean University (no. R20050).

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Authors and Affiliations

  1. College of Science, Heilongjiang University of Science and Technology, Harbin, 150022, Heilongjiang, People’s Republic of China

    Duanyin Shi

  2. College of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang, 524000, Guangdong, People’s Republic of China

    Hong Du

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  1. Duanyin Shi
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  2. Hong Du
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Correspondence to Hong Du.

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Communicated by José Tenreiro Machado.

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Shi, D., Du, H. New reproducing kernel Chebyshev wavelets method for solving a fractional telegraph equation . Comp. Appl. Math. 40, 126 (2021). https://doi.org/10.1007/s40314-021-01512-8

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  • DOI: https://doi.org/10.1007/s40314-021-01512-8

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