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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
A New Accurate Approach to Solve the Cauchy Problem of the Kolmogorov–Petrovskii–Piskunov Equations
Type
JournalPaper
Keywords
Weighted reduced differential transform method, Kolmogorov- Petrovskii-Piskunov equation, Cauchy problem, Approximate analytical solution
Year
2017
Journal international journal of applied and computational mathematics
DOI
Researchers Afshin Babaei

Abstract

In this paper, a weighted algorithm based on the reduced differential transform method is introduced for solving Cauchy problems of the Kolmogorov–Petrovskii–Piskunov equations. The proposed approach uses initial and boundary conditions simultaneously for obtaining an approximate analytical solution of the equation. A description of the method is given. Finally, the Cauchy problems of some important equations are discussed to show ability of the presented algorithm and to confirm utility of this method.