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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