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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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