<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest.</p>
</abstract>

A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest.

Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods

Department of Mathematics, Faculty of Science

Mathematics Department, Faculty of Science

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via...

Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods

Published Online: Dec 24, 2020

Page range: 23 - 38

DOI: https://doi.org/10.2478/jamsi-2020-0007

Keywords
Integral equations, Volterra integral equations, Leibnitz’s derivation technique, Adomian decomposition method

© 2020 M. A. Alzhrani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods

Published Online: Dec 24, 2020

Page range: 23 - 38

DOI: https://doi.org/10.2478/jamsi-2020-0007

KeywordsIntegral equations, Volterra integral equations, Leibnitz’s derivation technique, Adomian decomposition method

© 2020 M. A. Alzhrani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Integral equations, Volterra integral equations, Leibnitz’s derivation technique, Adomian decomposition method