کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10997873 1341571 2019 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient algorithm for solving Volterra integro-differential equations based on Alpert's multi-wavelets Galerkin method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An efficient algorithm for solving Volterra integro-differential equations based on Alpert's multi-wavelets Galerkin method
چکیده انگلیسی
This paper is concerned with the application of the multi-wavelets Galerkin method to linear and nonlinear second order Volterra integro-differential equations. Using the operational matrices of integration and wavelet transform matrix, we reduce the problem to a set of algebraic equations. For linear type, we use thresholding to reduce the computational effort. We demonstrate that our solutions may be efficiently represented in a multi-wavelets basis, due to flexible vanishing moments property of this type of multi-wavelets. The L2 convergence of the scheme for the proposed equation has been investigated. A series of numerical tests is provided to demonstrate the validity and applicability of the technique.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 348, 1 March 2019, Pages 453-465
نویسندگان
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