Complex B-Spline Collocation Method for Solving Weakly Singular Volterra Integral Equations of the Second Kind
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Abstract
In this paper we propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex B-spline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method.
Description
Jafari, Hossein/0000-0001-6807-6675; Johnston, Sarah Jane/0000-0002-8942-3012; Ramezani, Mohammad/0000-0002-4189-267X
Keywords
Volterra Integral Equation, Complex B-Spline, Collocation Method, QA Mathematics / matematika, numerical examples, collocation method, Volterra integral equations, weakly singular kernels, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), complex \(B\)-spline, second kind, Volterra integral equation
Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
8
Volume
16
Issue
2
Start Page
1091
End Page
1103
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CrossRef : 1
Scopus : 9
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