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This paper deals with a new application of Bernstein polynomials to find approximate solution of linear Volterra Integro-differential
equation of a special kind. For this purpose, we first need to convert multiple integral into single integral. Since we have taken kernel of convolution type so we will use convolution product. By using properties of
Bernstein polynomials integral equation is reduced into an algebraic equation. The set of algebraic equation is then solved and approximate solution
is obtained. Some numerical solutions are also presented to confirm the
reliability and applicability of the proposed method.
Tahira Batool, Muhammad Ozair Ahmad. (2017) Application of Bernstein Polynomials for Solving Linear Volterra Integro-Differential Equations with Convolution Kernels, Punjab University Journal of Mathematics, Volume 49, Issue 3.
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