Analytical Approximation of Brusselator Model via LADM

Khan, Faiz M.; Ali, Amjad; Abdullah, .; Shah, Kamal; Khan, Aziz; Mahariq, İbrahim

doi:10.1155/2022/8778805

Cited by 4 publications

(5 citation statements)

References 35 publications

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“…In recent studies of such foreign scientists as F. Muhammad Khan [2], A. Kara [5], V. [1], H. Tomić [4], and M. A. Ad [7], the main attention is paid to the development of valuation information models within the framework of the LADM standard.…”

Section: Discussionmentioning

confidence: 99%

Formation of an evaluation information model in the system of land cadastre

Kuryltsiv¹,

Myronov²

2023

ZKMZ

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The article examines the feasibility of developing an evaluation information model for use in the system of land administration in Ukraine. The Land Administration Domain Model (LADM) standard, which is intended to standardize cadastre models of different countries of the world, is considered. The conceptual principles of the evaluation information model and the conformity of this model to the Land Administration Domain Model (LADM) are revealed. Features of the basic evaluation information model structure are presented, including identification of information needs, and establishment of relationships between classes of objects and their filling. This approach automates the process of data collection and analysis, as well as reduces the number of errors during evaluation. The article examines the implementation of the evaluation information model based on LADM in Ukraine, which will require a comprehensive study of the legal and regulatory framework related to the system of land administration in Ukraine. For the successful implementation of the evaluation information system in Ukraine, the authors propose to define types of ownership, which will include the model, spatial-territorial distribution, and types of tax payments, which will be administered in the system. Thus, a well-developed and implemented model of land administration can provide effective management of land resources, an increase of investments, and generation of incomes.

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Section: Discussionmentioning

confidence: 99%

Formation of an evaluation information model in the system of land cadastre

Kuryltsiv¹,

Myronov²

2023

ZKMZ

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“…It validates the accuracy of our approach to approximating the reaction-diffusion system numerically. The L 2 norm and L ∞ norm, are presented in Table (3), which shows that the comparative errors are reduced significantly according to the reduction of the size of the time increments. Test Problem 2.…”

Section: Numerical Examples and Applicationsmentioning

confidence: 97%

“…The reaction-diffusion Brusselator model has been addressed by Wazwaz et al through the decomposition technique [2]. Because of its potential to provide a close analytical solution, the fractional-order Brusselator model was studied by Faiz et al [3]. The Brusselator system stability of a reaction-diffusion cell as well as the Hopf bifurcation analysis of the system have been detailed by Alfifi [4].…”

Section: Introductionmentioning

confidence: 99%

Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs

Ali,

Trisha,

Islam

2023

GLM

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The purpose of the research is to find the numerical solutions to the system of time dependent nonlinear parabolic partial differential equations (PDEs) utilizing the Modified Galerkin Weighted Residual Method (MGWRM) with the help of modified Bernstein polynomials. An approximate solution of the system has been assumed in accordance with the modified Bernstein polynomials. Thereafter, the modified Galerkin method has been applied to the system of nonlinear parabolic PDEs and has transformed the model into a time dependent ordinary differential equations system. Then the system has been converted into the recurrence equations by employing backward difference approximation. However, the iterative calculation is performed by using the Picard Iterative method. A few renowned problems are then solved to test the applicability and efficiency of our proposed scheme. The numerical solutions at different time levels are then displayed numerically in tabular form and graphically by figures. The comparative study is presented along with L2 norm, and L∞ norm.

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“…In this article, we study the general solution of the standard telegraph equations by the method of Laplace-Adomian. The standard telegraph equation is an important equation arises in the propagation of electrical signals along a telegraph line, taking into consideration the inductance, capacitance and conductance of the cable [1,2,3,4]. However the method of Laplace-Adomian is a numerical method based on the combination of the Laplace Transform and Adomian decompositionnal method [5,6,2].…”

Section: Introductionmentioning

confidence: 99%