Abstract
In this article, Sinc collocation method is considered to obtain the numerical solution of pantograph Volterra delay-integro-differential equation (VDIDE). This numerical method reduces the VDIDE to an explicit system of algebraic equation. Convergence analysis is given and shows that Sinc solution produces an error of order O(Ne-k√N), where k>0 is a constant. Moreover, Sinc method is applied to the test examples to illustrate accuracy and implementation of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 853-865 |
| Number of pages | 13 |
| Journal | International Journal of Computer Mathematics |
| Volume | 94 |
| Issue number | 5 |
| DOIs | |
| State | Published - 4 May 2017 |
Keywords
- Sinc function
- Volterra delay-integro-differential equation
- collocation method
- exponential convergence
- pantograph equation
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