Solving differential equations by wavelet transform method based on the mother wavelets & differential invariants

Authors

  • Hamid Reza Yazdani Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran.
  • Mehdi Nadjafikhah School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.

Keywords:

Wavelet, Mother wavelet, Wavelet transform, Differential invariant, Degree reduction

Abstract

Nowadays, wavelets have been widely used in various fields of science and technology. Meanwhile, the wavelet transforms and the generation of new Mother wavelets are noteworthy. In this paper, we generate new Mother wavelets and analyze the differential equations by using of their corresponding wavelet transforms. This method by Mother wavelets and the corresponding wavelet transforms produces analytical solutions for PDEs and ODEs.

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Published

2018-12-31

Issue

Vol. 14 No. 1 (2018): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Solving differential equations by wavelet transform method based on the mother wavelets & differential invariants. (2018). Journal of Prime Research in Mathematics, 14(1), 74 – 86. https://jprm.sms.edu.pk/index.php/jprm/article/view/142