A note on integral transforms and differential equations

In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms. Further in order to generate a pde with non constant coefficients, the convolutions were used and solutions were demonstrated.

Detalhes bibliográficos
Main Authors: Kilicman, Adem, Eltayeb, Hassan, Ismail, Mat Rofa
Formato: Artigo
Idioma:English
Publicado em: Institute for Mathematical Research, Universiti Putra Malaysia 2012
Acesso em linha:http://psasir.upm.edu.my/id/eprint/39035/1/39035.pdf
Descrição
Resumo:In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms. Further in order to generate a pde with non constant coefficients, the convolutions were used and solutions were demonstrated.