A New Iterational Method for Ordinary Equations Using Sumudu Transform

Li, Yanqin; Chen, Wen

doi:10.22606/aan.2016.12004

Cited by 8 publications

(6 citation statements)

References 20 publications

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“…A new modified variational iteration method was found, inspired and driven by Wu's thoughts and combining with the Sumudu transform [20]. The new approach is based on variational iteration theory and Sumudu transform.…”

Section: Introductionmentioning

confidence: 99%

Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation

Vilu

Ahmad

Din

2019

International Journal of Differential Equations

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In this research, a new approach is presented for solving delay differential equations (DDEs) which is a blend of Sumudu transform and variational iteration method (VIM). A general Lagrange multiplier is used to construct a correction functional. This is done with an uncommon Sumudu transform alongside variational theory. A few numerical cases were solved to demonstrate methodology of this new approach. Objective of this research is to reduce the complexity of computational work compared to the conventional approaches. It can be concluded that the amount of evaluation is reduced but at the same time the results are comparable as in the previous works.

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Section: Introductionmentioning

confidence: 99%

Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation

Vilu

Ahmad

Din

2019

International Journal of Differential Equations

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“…The method is presented in this section to make this study a complete paper. The account of the method which is being presented has been discussed in [17,18,19].…”

Section: Description Of the Methodsmentioning

confidence: 99%

Analyzing population dynamics models via Sumudu transform

Aibinu¹,

Moyo²,

Moyo³

2021

Preprint

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This study demonstrates how to construct the solutions of a more general form of population dynamics models via a blend of variational iterative method with Sumudu transform. In this paper, population growth models are formulated in the form of delay differential equations of pantograph type which is a general form for the existing models. Innovative ways are presented for obtaining the solutions of population growth models where other analytic methods fail. Stimulating procedures for finding patterns and regularities in seemingly chaotic processes have been elucidated in this paper. How, when and why the changes in population sizes occur can be deduced through this study.

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“…A novel technique in order to solve FDEs is laid down based on the Sumudu transform. Sumudu transform along with broad applications has been utilized in the area of system engineering and applied physics [9], [26], [29]. In [8], some simple and deeper fundamental theorems and properties of the Sumudu Transform were generalized.…”

Section: Introductionmentioning

confidence: 99%

Solving Differential Equations with Z-Numbers by Utilizing Fuzzy Sumudu Transform

Jafari

Razvarz

Gegov

2018

Advances in Intelligent Systems and Computing

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The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method. Here, the uncertainties are in the sense of Z-numbers. Important theorems are laid down to illustrate the properties of FST. The theoretical analysis and simulation results show that this new technique is effective to estimate the solutions of FDEs.

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A New Iterational Method for Ordinary Equations Using Sumudu Transform

Cited by 8 publications

References 20 publications

Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation

Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation

Analyzing population dynamics models via Sumudu transform

Solving Differential Equations with Z-Numbers by Utilizing Fuzzy Sumudu Transform

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