2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics

Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 1 No. 2
Almost Bernstein Operational Matrix Method for Solving System of Volterra Integral Equations of Convolution Type
Vineet K. Singh1, Om P. Singh2 and Rajesh K. Pandey3
1. Birla Institute of Technology and Science-Pilani, Goa Campus, Goa, India
2. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
3. PDPM Indian Institute of Information Technology Design and Manufacturing, Jabalpur, India
Abstract: In our previous work(International Journal of Nonlinear Sciences and Numerical Simulation), we constructed an almost Bernstein operational matrix of integration (ABOMI) and used it to propose a new stable algorithm to solve the Abel’s integral equation which is a type of Volterra integral equation of the first kind. The aim of the present communication is to extend this concept to a system of singular Volterra integral equations of the second kind, and construct a new ABOMI algorithm for the discussed problem.

Keywords: Bernstein polynomials, almost Bernstein operational matrix of integration, singular kernel, system of Volterra integral equations, Abel integral equation.

Biographical Notes:


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