Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 94, Issue 10, Pages 2041-2062Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2016.1274745
Keywords
Fractional pantograph equation; existence of solution; sinc approximation; exponential rate of convergence; analytic solution; 34A08; 65M70; 34A12
Categories
Funding
- FEDER
- government of Spain [MTM2013-41704-P]
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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 problem needs to have an analytic solution. So we 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 numerical methods to show the performance and good accuracy of the methods. The numerical orders of convergence show that the method has exponential rate of convergence.
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