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math.NA2018★ 3 cited
Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations
Aline Hosry, Roger Nakad, Sachin Bhalekar
In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential…
math.NA2016★ 9 cited
A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations
Sachin Bhalekar, Jayvant Patade
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the i…