WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
On the Construction of the Forward-Jumping Method and its Application to Solving of the Volterra Integral Equations with Symmetric Boundaries
Authors: , ,
Abstract: As is known the theoretical and so practical interest are represent the numerical methods with the high order of accuracy, which have the extended stability area and have uses the minimal volume of computational work at the each step size. For the construction such methods, here has expound the new way to solving Volterra integral equation by using which, here are constructed the stable forward-jumping methods with the order of accuracy. And also have determined the maximal value of the order of accuracy of the proposed methods. In the construction of the algorithms have considered to using of the forward-jumping methods with the new properties and application them to solving Volterra integral equation with the symmetric bounders. For the construction of the methods with the high order of accuracy, here are used the forward-jumping methods of hybrid type. The received results are illustrated by solving the model equations.
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Pages: 295-302
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #34