Numerical solution ofVolterra‐Fredholm integral equation via hyperbolic basis functions
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields(2020)
摘要
In this paper, a new method using hyperbolic basis functions is presented to solve second kind linear Volterra‐Fredholm integral equation. In other words, our method approximates the solution of a Volterra‐Fredholm integral equation by the hyperbolic basis functions, which produce block‐pulse functions. Hence, the new method reduces the linear Volterra‐Fredholm integral equation to a system of algebraic equations. Some numerical examples are provided to illustrate the computational efficiency and accuracy of the new method.
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关键词
numerical solution,integral equation
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