Results 71 to 80 of about 476 (175)
Laplace Adomian decomposition method for solving Newell-Whitehead-Segel equation
Applied Mathematical Sciences, 2013 In this manuscript, the Laplace Adomian decomposition method (LADM) is presented to solve Newell-Whitehead-Segel equation. The method can be applied to linear and nonlinear problems. Some examples have been carried out in order to illustrate the efficiency and reliability of the method.
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Alexandria Engineering Journal, 2020 A dependable approach for inverting two classes of rational Laplace transforms, involving regular polynomials and partial sums with non-integer exponents is developed. Such types of Laplace transforms frequently emerge as the system transfer functions in
Hooman Fatoorehchi, Randolph Rach
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag +3 more
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AxiomsOscillatory motions in stratified atmospheric fluid layers significantly influence weather and climate dynamics. Shallow-water equations effectively describe these motions.
Priti V. Tandel +2 more
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On a nonlinear singular one-dimensional parabolic equation and double Laplace decomposition method
Advances in Mechanical Engineering, 2017 In this article, the double Laplace transform and Adomian decomposition method are used to solve the nonlinear singular one-dimensional parabolic equation. In addition, we studied the convergence analysis of our problem.
Hassan Eltayeb Gadain, Imed Bachar
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Mathematical modeling and numerical simulation of HIV infection model
Results in Applied Mathematics, 2020 In this work we implement two numerical schemes namely continuous Galerkin–Petrov (cGP(2)) and Legendre Wavelet Collocation Method (LWCM) for the approximate solution of the mathematical model which describes the behavior of CD4+T-cells, infected CD4+T ...
Attaullah, Muhammad Sohaib
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Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method. [PDF]
Beni Suef Univ J Basic Appl Sci, 2022 Yunus AO +4 more
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Mathematical modeling of chickenpox transmission using the Laplace Adomian Decomposition Method
Results in Control and OptimizationIn this work, mathematical modeling of a nonlinear differential equation was studied to investigate the effect of vaccination on the spread of chickenpox. The proof of existence and uniqueness of the positive solution and invariant region showed that the model is epidemiologically sound.
Tawakalt A. Ayoola +3 more
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Mathematical Analysis of Fractional Order Co-Infection TB and HIV Model
International Journal of Analysis and Applications, 2020 A mathematical model of HIV/AIDS and TB including its co-infections is formulated. We find the Equilibrium points and with the help of numerical simulation, we have analyze that the sub-models of TB, HIV/AIDS and its co-infections.
Muhammad Farman +3 more
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AxiomsThis study applies the Conformable Laplace Adomian Decomposition Method (CLADM) to solve generalized time-fractional Korteweg–de Vries (KdV) models, including seventh- and fifth-order models.
Priti V. Tandel +2 more
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