Results 11 to 20 of about 217,424 (259)
Dynamics of SEIR epidemic model by optimal auxiliary functions method. [PDF]
Chaos Solitons Fractals, 2021 The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions ...
Marinca B, Marinca V, Bogdan C.
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Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders
Mathematics, 2020 In the present work, the nonlinear oscillations of a pendulum wrapping on two cylinders is studied by means of a new analytical technique, namely the Optimal Auxiliary Functions Method (OAFM).
Vasile Marinca, Nicolae Herisanu
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Optimal Auxiliary Functions Method for viscous flow due to a stretching surface with partial slip
Open Engineering, 2018 The viscous flow induced by a stretching surface with partial slip is investigated. The flow is governed by a third-order nonlinear differential equation, corresponding to the planar and axisymmetric stretching.
Marinca Vasile +2 more
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New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves [PDF]
Results in Physics, 2021 In the present article, we present for the first time optimal auxiliary function method (OAFM) for partial differential equation (PDEs). To find efficient and precision the proposed method, we take Lax’s seventh order korteweg-de Vries (KdV) and seventh ...
Laiq Zada +5 more
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Mathematics, 2022 The main objective of the present work is to find an approximate analytical solution for the nonlinear differential equation of the vibro-impact oscillator under the influence of the electromagnetic actuation near the primary resonance.
Nicolae Herisanu +2 more
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Symmetry, 2022 Based on some geometrical properties of the Rabinovich system the closed-form solutions of the equations has been established. Moreover the Rabinovich system is reduced to a nonlinear differential equation depending on an auxiliary unknown function. The approximate analytical solutions are built using the Optimal Auxiliary Functions Method (OAFM).
Remus-Daniel Ene +2 more
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An extension of optimal auxiliary function method to fractional order high dimensional equations
Alexandria Engineering Journal, 2021 In this article, the new approach called, the optimal auxiliary function method (OAFM) has been extended with the help of the fractional complex transform method (FCTM) to fractional order partial differential equations (PDEs). The beauty of the method is that, there is no need for small or large parameter assumption in the problem.
Rashid Nawaz +6 more
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Alexandria Engineering Journal, 2016 In this research work a new version of Optimal Homotopy Asymptotic Method is applied to solve nonlinear boundary value problems (BVPs) in finite and infinite intervals.
Liaqat Ali +4 more
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Axioms, 2023 In this article, we investigate the utilization of Riemann–Liouville’s fractional integral and the Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM).
Rashid Nawaz +6 more
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Axioms, 2023 This paper introduces the optimal auxiliary function method (OAFM) for solving a nonlinear system of Belousov–Zhabotinsky equations. The system is characterized by its complex dynamics and is treated using the Caputo operator and concepts from fractional calculus.
Azzh Saad Alshehry +4 more
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