Numerical Solutions of Non-Linear System of Higher Order Volterra Integro-Differential Equations using Generalized STWS Technique
In this article, we deal with non-linear system of higher order Volterra integro-differential equations and their numerical solutions using the Single Term Walsh Series (STWS) method. The connections between STWS coefficients of the unknown functions and its derivatives are derived. The non-linear s...
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| Veröffentlicht in: | Differential equations and dynamical systems 2021-07, Vol.29 (3), p.609-621 |
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| creator | Sekar, R. Chandra Guru Murugesan, K. |
| description | In this article, we deal with non-linear system of higher order Volterra integro-differential equations and their numerical solutions using the Single Term Walsh Series (STWS) method. The connections between STWS coefficients of the unknown functions and its derivatives are derived. The non-linear system of Volterra integro-differential equations are converted into a system of non-linear algebraic equations using the Single Term Walsh Series coefficients. Solving these system of algebraic equations, we obtain the discrete numerical solutions of the non-linear Volterra integro-differential equations. Numerical examples are presented to show the efficiency and applicability of this STWS method for solving the non-linear system of higher order Volterra integro-differential equations. |
| doi_str_mv | 10.1007/s12591-017-0376-4 |
| format | Article |
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| subjects | Computer Science Engineering Mathematics Mathematics and Statistics Nonlinear differential equations Original Research Volterra integral equations |
| title | Numerical Solutions of Non-Linear System of Higher Order Volterra Integro-Differential Equations using Generalized STWS Technique |
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