文献类型：期刊文献

英文题名：New reproducing kernel Chebyshev wavelets method for solving a fractional telegraph equation

作者：Shi, Duanyin[1];Du, Hong[2]

机构：[1]Heilongjiang Univ Sci & Technol, Coll Sci, Harbin 150022, Heilongjiang, Peoples R China;[2]Guangdong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China

年份：2021

卷号：40

期号：4

外文期刊名：COMPUTATIONAL & APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000645236900001)、、EI(收录号：20224112885762)、Scopus(收录号：2-s2.0-85104943720)、WOS

基金：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).

语种：英文

外文关键词：Chebyshev wavelets; Fractional telegraph equation; Reproducing kernel

外文摘要：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 epsilon-approximate solutions. It is satisfied that the accuracy of errors provided by examples is very high.