A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind
Abstract
In this paper, a new multi-parametric homotopy approach is proposed to find
the approximate solution of linear and non-linear two-dimensional Fredholm
integral equations of the second kind. In this framework, convergence of the
proposed approach for these types of equations is investigated. This homotopy contain two auxiliary parameters that provide a simple way of controlling
the convergence region of series solution. The results of present method are
compared with Adomian decomposition method (ADM) results which provide
confirmation for the validity of proposed approach. Two examples are presented
to illustrate the accuracy and effectiveness of the proposed approach.
Keywords
multi-parametric convergence-control Adomian decomposition method (ADM) Fredholm integral equation averaged residual error (ARE)
References
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Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | February 1, 2015 |
| Published in Issue | Year 2015 Volume: 44 Issue: 1 |