Abstract
In this paper, the two-dimensional linear and nonlinear integral equations of the second kind is analyzed. The homotopy analysis method (HAM) is used for determining the solution of the investigated equation. In this method, a solution is sought in the series form. It is shown that if this series is convergent, its sum gives the solution of the considered equation. The sufficient condition for the convergence of the series is also presented. Additionally, the error of approximate solution, obtained as partial sum of the series, is estimated. Application of the HAM is illustrated by examples.
| Original language | English |
|---|---|
| Pages (from-to) | 19-41 |
| Number of pages | 23 |
| Journal | Computer Assisted Methods in Engineering and Science |
| Volume | 23 |
| Issue number | 1 |
| Publication status | Published - 2016 |
Keywords
- Convergence
- Error estimation
- Homotopy analysis method
- Linear integral equation
- Nonlinear integral equation
ASJC Scopus subject areas
- Computational Mechanics
- Mechanical Engineering
- Computer Science Applications
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