A Fourier wavelet series solution of partial differential equation through the separation of variables method
作者：
Highlights：
• Consideration of Partial Differential Equations.
• Introduction of an analytical method to get the Fourier-wavelet series solution for PDE’s.
• Extensive discussion of error bound and convergence analysis of the method.
• Analysis of the existence and boundedness of the solution.
• Comparison of proposed method with existing method through illustrative examples.
摘要
•Consideration of Partial Differential Equations.•Introduction of an analytical method to get the Fourier-wavelet series solution for PDE’s.•Extensive discussion of error bound and convergence analysis of the method.•Analysis of the existence and boundedness of the solution.•Comparison of proposed method with existing method through illustrative examples.
论文关键词：Partial differential equations,Integral transform,Compact support,Wavelets and its transform,Fourier series
论文评审过程：Received 22 February 2020, Revised 4 June 2020, Accepted 15 June 2020, Available online 26 July 2020, Version of Record 26 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125480
