An Application of the Weighted Mean Value Method to Fredholm integral equations with Toeplitz plus Hankel kernels
نویسندگان
چکیده
منابع مشابه
Mean value theorem for integrals and its application on numerically solving of Fredholm integral equation of second kind with Toeplitz plus Hankel Kernel
The subject of this paper is the solution of the Fredholm integral equation with Toeplitz, Hankel and the Toeplitz plus Hankel kernel. The mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the method.
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Mean value theorems for both derivatives and integrals are very useful tools in mathematics. They can be used to obtain very important inequalities and to prove basic theorems of mathematical analysis. In this article, a semi-analytical method that is based on weighted mean-value theorem for obtaining solutions for a wide class of Fredholm integral equations of the second kind is introduced. Il...
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ژورنال
عنوان ژورنال: Journal of Interpolation and Approximation in Scientific Computing
سال: 2017
ISSN: 2194-3907
DOI: 10.5899/2017/jiasc-00119