Elzaki decomposition method for approximate solution of a one-dimensional heat model with axial symmetry

Achudume³

et al. 2022

This study applies Elzaki Adomian Decomposition Method (EADM) to solve the Logistic Differential Model (LDM) of different forms and coefficients. Illustrative examples are considered, and the obtained results are in good agreement compared to those already in the literature. This study, therefore, recommends the proposed method (EADM) for application in other aspects of applied mathematics for real-life problems.

Section: Introductionmentioning

confidence: 99%

Elzaki Adomian decomposition method applied to Logistic differential model

Dosunmu

Achudume³

et al. 2022

“…Several researchers have developed iterative methods or modified existing methods for efficiency and reliability. These include the New Iterative Method (NIM), Picard Iterative Method (PIM), Variational Iterative Method (VIM), ADM, Homotopy Perturbation Method (HPM), Boundary Value Methods (BVMs), and so on [5][6][7][8][9][10]. The majority of natural occurrences are linear and non-linear.…”

Section: Introductionmentioning

confidence: 99%

Laplace decomposition method for series solutions of systems of linear partial differential models

Engworo

Ogunniyi

2022

Self Cite

Most of the real-life problems experienced in the industry these days cannot be expressed as a single differential equation but as a system of differential equations. Such structures of linear partial differential models are considered in this work with the aid of the Laplace Adomian decomposition method (LADM) in terms of solutions. Various examples are taken into consideration. The results are easily obtained, are in good agreement when compared to their exact forms. In addition, the proposed method seems effective and efficient; the solutions are graphically presented.

“…Consequently, the goals are to apply SAM to the logistic differential equation and compare the results obtained using SAM to the exact solutions (if any) of the Logistic differential model. Although, in this respect, numerical techniques have been applied for solving dynamical models (equations) and other differential models [5][6][7][8][9][10][11][12][13][14][15]. Numerous strategies for obtaining an exact or numerical solution to ordinary or partial differential models have lately been presented by several solution specialists [16][17][18][19][20][21][22][23][24][25][26].…”

mentioning

confidence: 99%

Approximate-analytical solutions of the quadratic Logistic differential model via SAM

Fadugba

Udjor

et al. 2022

This paper applies the novel Successive Approximation Method (SAM) for the solution of the quadratic Logistic Differential Model (LDM). To confirm the reliability of the method, illustrative examples are considered, and it is remarked that the approximate-analytical solutions of the considered cases are computed with ease. The proposed technique is used directly, without transformation, discretization, linearization, or any restrictive assumptions.