The Finite LaPlace Transform for Solving a Weakly Singular Integral Equation Occurring in Transfer Theory
نویسندگان
چکیده
منابع مشابه
A simple algorithm for solving the Volterra integral equation featuring a weakly singular kernel
There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three...
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a method for solving a class of weakly singular volterra integral equations is given by using the fractional differential transform method. the approximate solution of these equations is calculated in the form of a finite series with easily computable terms. while in some examples this series solution increased up to the exact closed solution, in some other examples, we can see the accuracy an...
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Abstract In this paper, we will present a new method for a Volterra integral equation with weakly singular kernel in the reproducing kernel space. Firstly the equation is transformed into a new equivalent equation. Its exact solution is represented in the form of series in the reproducing kernel space. In the mean time, the n-term approximation un(t) to the exact solution u(t) is obtained. Some...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2004
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075298