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2019•Thai Journal of MathematicsOpen access

Efficient Numerical Technique for Solving Integral Equation

Itthithep Navarasuchitr, Pallop Huabsomboon, Hideaki Kaneko

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Abstract

In this paper, we apply an numerical technique to solve a solution of linear Volterra Integro-Differential Equations. The numerical technique originally developed by Huabsomboon et al. [P. Huabsomboon, B. Novaprateep, H. Kaneko, On Taylor-series expansion techniques for the second kind integral equations, J. Comput. Appl. Math. 234 (2010) 1446--1472] bases on Taylor-series expansion. Our results shown that the technique is simple and efficient.

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What this paper is about

In this paper, we apply an numerical technique to solve a solution of linear Volterra Integro-Differential Equations. The numerical technique originally developed by Huabsomboon et al. [P. Huabsomboon, B. Novaprateep, H. Kaneko, On Taylor-series expansion techniques for the second kind integral equations, J. Comput. Appl. Math. 234 (2010) 1446--1472] bases on Taylor-series expansion. Our results shown that the technique is simple and efficient.

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Available abstract

In this paper, we apply an numerical technique to solve a solution of linear Volterra Integro-Differential Equations. The numerical technique originally developed by Huabsomboon et al. [P. Huabsomboon, B. Novaprateep, H. Kaneko, On Taylor-series expansion techniques for the second kind integral equations, J. Comput. Appl. Math. 234 (2010) 1446--1472] bases on Taylor-series expansion. Our results shown that the technique is simple and efficient.

Key concepts: Mathematics, Taylor series, Volterra integral equation, Simple (philosophy), Series (stratigraphy), Numerical analysis, Integral equation, Mathematical analysis

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