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Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-02-01 , DOI: 10.1007/s11253-020-01719-8
E. A. Bakirova , N. B. Iskakova , A. T. Assanova

We propose a numerical method for the solution of linear boundary-value problems for systems of integrodifferential equations. The method is based on the approximation of the integral term by a cubic spline and the reduction of the original problem to a linear boundary-value problem for a system of loaded differential equations. We also propose new algorithms for finding the numerical solutions and a method for the construction of approximate solutions to the approximating boundary-value problems.

中文翻译:

基于样条近似解积分微分方程线性边值问题的数值方法

我们提出了一种求解积分微分方程组线性边值问题的数值方法。该方法基于三次样条对积分项的逼近,并将原始问题简化为加载微分方程组的线性边值问题。我们还提出了用于寻找数值解的新算法和用于构造近似边值问题的近似解的方法。
更新日期:2020-02-01
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