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math.CA2016
Novel Special Function Obtained from a Delay Differential Equation
Sachin Bhalekar, Jayvant Patade
This paper deals with the series solution of a linear delay differential equation (DDE) y'(x) = ay(x)+ by(q x), 0<q<1 with proportional delay. We discuss the convergence of this no…
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…