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首页> 外文期刊>American Journal of Computational and Applied Mathematics >Integral Collocation Approximation Methods for the Numerical Solution of High-Orders Linear Fredholm-Volterra Integro-Differential Equations
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Integral Collocation Approximation Methods for the Numerical Solution of High-Orders Linear Fredholm-Volterra Integro-Differential Equations

机译：高阶线性Fredholm-Volterra积分微分方程数值解的积分配置近似方法

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摘要

In this paper, we employed the use of Standard Integral Collocation ApproximationMethod to obtain numerical solutions of special higher orders linear Fredholm-Volterra Integro-Differential Equations. Power Series, Chebyshev and Legendre's Polynomials forms of approximations are used as basis functions. From the computational view points, the method is efficient, convenient, reliable and superior to many existing methods. Two examples each of first and second orders and one of third order linear Fredholm - Volterra Integro-Differential Equations are considered to illustrate the method. We observed from the results obtained that the method performed better when compared with the results obtained in Mustafa and Yalcin (2012).
机译：在本文中，我们使用标准积分配置近似方法来获得特殊高阶线性Fredholm-Volterra积分微分方程的数值解。幂级数，切比雪夫（Chebyshev）和勒让德（Legendre）多项式形式的近似值用作基本函数。从计算的角度来看，该方法是高效，方便，可靠的，并且优于许多现有方法。考虑一阶和二阶两个例子以及一阶三阶线性Fredholm-Volterra积分微分方程来说明该方法。我们从获得的结果中观察到，与在Mustafa和Yalcin（2012）中获得的结果相比，该方法的效果更好。

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