Solving Systems of Non-Linear Volterra Integral Equations by Combined Sumudu Transform-Adomian Decomposition Method

Al-Taee, Lamiaa H.; Al-Hayani, Waleed

doi:10.24996/ijs.2021.62.1.24

Cited by 4 publications

(2 citation statements)

References 21 publications

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“…Moreover, double integral transforms have been effective in solving differential equations such as: double Laplace transform [22], double Laplace ARA [42,53], double formable [51] double ARA [45] and others [7,17,48]. They are essential in many scientific and technological fields, improving our comprehension and facilitating effective problem-solving [10,23,[38][39][40]. Developed by Mohand [37], M.T.…”

Section: Introductionmentioning

confidence: 99%

The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations

Saadeh,

Alshawabkeh,

Khalil

et al. 2024

Eur. J. Pure Appl. Math.

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In recent years, Mohanad transform, a mathematical approach, has drawn a lot of interest from researchers. It is useful for solving many engineering and scientific problems, such as those involving electric circuits, population growth, vibrational beams, and heat conduction. The Mohanad transform is defined and introduced in this study, along with its fundamental qualities,including linearity and convolution. It is also discussed in connection with other integral transforms and how it is used in derivatives. Additionally, we use the Mohanad transform to solve a few systems of ordinary differential equations (ODEs) and review its properties in this paper. Determining the concentration of a chemical reactant (material) in a series is a physical chemistry problem that we use in the application part. We achieve this by developing a model based on ordinary differential equations (ODEs) and then solving them using the Mohanad transform. This research proves that, with little computational effort, we can get the exact solutions of ordinary differential equations (ODEs) via the Mohanad transform. We used graphs and tables to show our answer.

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Section: Introductionmentioning

confidence: 99%

The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations

Saadeh,

Alshawabkeh,

Khalil

et al. 2024

Eur. J. Pure Appl. Math.

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“…L. Al-Taee at al. [34,35], solving system of nonlinear Volterra integral equations with Sumudu-ADM and fuzzy system of Volterra integro-differential equations by using ADM.…”

Section: Introductionmentioning

confidence: 99%

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Alidema

2022

Eur. J. Pure Appl. Math.

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In this paper, we combine double Sumudu transform with Adomian decomposition method to solve two dimensional fuzzy convolution Volterra integral equations. We give some definition for fuzzy number, fuzzy valued function which are prerequest for combine the double fuzzy Sumudu transform with Adomian decomposition transform method. We describe the method and finally, numerical examples are given to illustrate the efficiency and applicability of our method.

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A computational methods for solving partial differential equations and integral differential equations by using Sumudu-Elzaki transform

Abbas,

Al-Safi,

AL-Hussein

2023

2nd International Conference of Mathematics, Applied Sciences, Information and Communication Technology

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Solving Systems of Non-Linear Volterra Integral Equations by Combined Sumudu Transform-Adomian Decomposition Method

Cited by 4 publications

References 21 publications

The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations

The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

A computational methods for solving partial differential equations and integral differential equations by using Sumudu-Elzaki transform

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