A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution

Aruchunan, E.; Wu, Yong Hong; Wiwatanapataphee, Benchawan; Jitsangiam, Peerapong

doi:10.1109/AIMS.2015.24

Access Status

Fulltext not available

Authors

Aruchunan, E.

Wu, Yong Hong

Wiwatanapataphee, Benchawan

Jitsangiam, Peerapong

Date

2016

Type

Conference Paper

Metadata

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Citation

Aruchunan, E. and Wu, Y.H. and Wiwatanapataphee, B. and Jitsangiam, P. 2016. A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution, pp. 82-87.

Source Title

Proceedings - AIMS 2015, 3rd International Conference on Artificial Intelligence, Modelling and Simulation

DOI

10.1109/AIMS.2015.24

ISBN

9781467386753

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52219

Collection

Curtin Research Publications

Abstract

© 2015 IEEE.In this paper, we introduced a new variant called Modified Arithmetic Mean iterative method (MAM) from standard Arithmetic Mean (AM)iterative method for the solution of fourth order Fredholm Integro-differential equations. The proposed method has been derived with some relevant theories and proof to validate the convergence. In addition, the formulation and implementation of the proposed method in solving some well-posed problems are also presented and investigated based on a number of iterations, CPU time and Root Square Mean Error (RSME). Numerical simulation and comparisons have been carried out and scrutinised with Gauss-Seidel and standard AM iterative methods to validate the effectiveness of the proposed method.