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Mohammad Ghasemi

Mohammad Ghasemi

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 56092678300
HIndex:
Faculty: Faculty of Science
Address: University of Kurdistan, Factually of Sciences, Rom No 530
Phone: داخلی 4245

Research

Title
Existence and numerical simulation of solutions for nonlinear fractional pantograph equations
Type
JournalPaper
Keywords
Fractional pantograph equation, existence of solution, sinc approximation, exponential rate of, convergence, analytic solution
Year
2017
Journal International Journal of Computer Mathematics
DOI
Researchers Mohammad Ghasemi ، Yaghoub Jalilian ، Juan J. Trujillo

Abstract

In this paper a method based on Sinc approximation is developed for the numerical solution of a nonlinear fractional pantograph equation. In order to use Sinc approximation, the problemneeds to have an analytic solution. Sowe investigated the existence and uniqueness of analytic solutions in the proposed domain. Single and double exponential transformations are used to approximate the solution. Some test problems are given to demonstrate the efficiency and applicability of the methods. The results are compared with some other existing numericalmethods to showthe performance and good accuracy of themethods. The numerical orders of convergence show that the method has exponential rate of convergence.