Results 21 to 30 of about 143 (130)
A Laplace decomposition algorithm applied to a class of nonlinear differential equations
Journal of Applied Mathematics, Volume 1, Issue 4, Page 141-155, 2001., 2001 In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples.
Suheil A. Khuri
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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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Stability analysis of linear multistep methods for delay differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 447-458, 1986., 1986 Stability properties of linear multistep methods for delay differential equations with respect to the test equation 0 < λ < 1, are investigated. It is known that the solution of this equation is bounded if and only if |a| < −b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams ...
V. L. Bakke, Z. Jackiewicz
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Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 4, Page 651-667, 1979., 1979 Linear multistep methods are considered which have a stability region S and are D‐stable on the whole boundary ∂S ⊂ S of S. Error estimates are derived which hold uniformly for the class of initial value problems Y′ = AY + B(t), t > 0, Y(0) = Y0 with normal matrix A satisfying the spectral condition Sp(ΔtA) ⊂ S, Δt time step, Sp(A) spectrum of A ...
Eckart Gekeler
wiley +1 more source
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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Development of Hybrid Block Integrator for the Numerical solution of Stiff and Oscillatory Differential Equations for first order Ordinary Differential Equations [PDF]
This paper discussed the development of a new numerical hybrid block integrator for the numerical solution of stiff and oscillatory differential equations for first order ordinary differential equations.
Abubakar, Ahmad Abubakar +1 more
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Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
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Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this study, we propose a novel approach to address a particular second‐order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE), and we perform the Tau method bases on orthogonal Legendre polynomials directly, for solution of ...
Choonkil Park +2 more
wiley +1 more source
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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