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A hybrid method for solving fuzzy Volterra integral equations of separable type kernels

机译:一种求解可分离型核的模糊volterra积分方程的混合方法

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The paper deals with the computation of solutions of fuzzy Volterra integral equations with degenerate kernel by applying a hybrid method. The proposed method is built on Laplace transform coupled with Adomian Decomposition Method; Laplace Adomian Decomposition Method abbreviated as (LADM). In the considered equation the unknown function has a solution in terms of infinite series expansion and hence LADM becomes more accurate to give the exact solution. Firstly, using the fuzzy number in term of parametric form, the fuzzy Volterra integral equation is converted to two crisp integral equations and then LADM is applied to get the exact fuzzy solutions of fuzzy linear Volterra integral equations. For the illustration, some examples of considered equations are solved to highlight the robustness, efficiency and the applicability of the developed scheme. The obtained results play an important role in developing the theory of fuzzy analytical dynamic equations.
机译:本文通过施加混合方法,涉及与脱核的模糊volterra积分方程的解决方案。所提出的方法是在拉普拉斯变换的基础上,加上了Adomian分解方法;拉普拉斯adomian分解方法缩写为(LADM)。在考虑的方程中,未知功能在无限串联扩展方面具有解决方案,因此LADM更准确地提供精确的解决方案。首先,在参数形式期间使用模糊数,模糊Volterra积分方程被转换为两个清晰的整体方程,然后应用LADM以获得模糊线性Volterra积分方程的精确模糊解决方案。为了说明,解决了一定方程的一些示例以突出开发方案的鲁棒性,效率和适用性。所获得的结果在开发模糊分析动态方程理论方面发挥着重要作用。

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