The Application of the Hybrid Method to Solving the Volterra Integro - differential Equation
نویسنده
چکیده
Abstract— There are several works dedicated to the investigation of Volterra integro-differential equations. In addition, there are theoretical and practical representations of stable methods that have a high order of accuracy and extended stability regions; these representations were constructed using the minimum values of arithmetic operations. Here, hybrid methods are proposed for the construction of numerical methods with these properties; one of these hybrid methods is well known. We constructed concrete methods with orders of accuracy of 6 p and 8 p using information pertaining to the solution of the considered problem with one and two mesh points, respectively.
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