Results 11 to 20 of about 56 (55)
Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems
مجلة بغداد للعلوم, 2022 This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations.
Olanegan, O. O., Adeyefa, E. O.
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Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
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Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
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Time parallelization scheme with an adaptive time step size for solving stiff initial value problems
Open Mathematics, 2018 In this paper, we introduce a practical strategy to select an adaptive time step size suitable for the parareal algorithm designed to parallelize a numerical scheme for solving stiff initial value problems. For the adaptive time step size, a technique to
Bu Sunyoung
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A numerical approach for investigating a special class of fractional Riccati equation
Results in Physics, 2020 A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
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Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique
Kuwait Journal of ScienceA combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction.
Mohammad Izadi, Hari Mohan Srivastava
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Alexandria Engineering Journal, 2018 In this paper we present a reliable method based on second kind Chebyshev polynomial for the approximate solution of fractional Bloch equation in Nuclear Magnetic Resonance (NMR). The main advantages of the proposed method that it converts the fractional
Harendra Singh, C.S. Singh
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Numerical solution of third order boundary value problems using one-step hybrid block method
Ain Shams Engineering Journal, 2019 Numerical hybrid block methods have been thought to be an appropriate method for solving ordinary differential equation. Therefore, this paper introduces a one-step hybrid block method of order five for directly solving third order boundary value ...
Ra’ft Abdelrahim
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Results in Physics, 2018 In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat +4 more
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Open MathematicsThe aim of this article is to develop a modified predictor–corrector scheme for solving the system of nonlinear Ψ\Psi -Caputo fractional differential equations with order ...
Songsanga Danuruj +1 more
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