Abstract
A method is proposed for the solution of boundary-value problems of linear and non-linear 2mth-order Fredholm integro-differential equations. A set of algebraic equations are obtained after introduction of Gauss–Lobatto quadrature and the generalized differential quadrature analog into the weak form description of a Fredholm integro-differential equation. Numerical examples are presented to demonstrate the reliability and high computational efficiency of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 1650-1664 |
| Number of pages | 15 |
| Journal | International Journal of Computer Mathematics |
| Volume | 93 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2016 Oct 2 |
| Externally published | Yes |
Subject classification (UKÄ)
- Mathematical Analysis
Free keywords
- differential quadrature analog
- Fredholm integro-differential equation
- Gauss–Lobatto quadrature
- numerical solution
- weak form