TAYLOR WAVELET APPROACH FOR THE SOLUTION OF THE FREDHOLM INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND
By
Vivek, Suyash Narayan Mishra and Manoj Kumar
Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow, Uttar
Pradesh, India-226021
Email: vk35@iitbbs.ac.in, snmishra@ietlucknow.ac.in, manojkumar@ietlucknow.ac.in
(Received : March 13, 2023; In format : March 24, 2023; Revised : December 05, 2023; Accepted : December 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53234
Abstract
A Taylor wavelet technique is used to obtain the approximate solution of the Fredholm integro-differential equations (IDEs) of the second kind. Taylor wavelet method is based on an estimate of the unknown function involved in a given IDEs using the Taylor wavelet basis. The simplicity of the technique is a highly striking feature for the estimate of the unknown function. The applicability of the technique on various numerical problems shows the preciseness and usefulness of the technique. The suggested wavelets approach stands out for its simple operations, easy implementation, and accurate answers. A comparison is made with previous findings.
2020 Mathematical Sciences Classification: 45D05, 45D99.
Keywords and Phrases: Taylor wavelet, Operational integration matrix, Collocation points, Integro-differential equation, MATLAB.