Results 31 to 40 of about 985 (108)

New, Highly Accurate Propagator for the Linear and Nonlinear Schr\"odinger Equation

open access: yes, 2012
A propagation method for the time dependent Schr\"odinger equation was studied leading to a general scheme of solving ode type equations. Standard space discretization of time-dependent pde's usually results in system of ode's of the form u_t -Gu = s ...
A. Alvermanna   +20 more
core   +1 more source

Numerical solution of third order boundary value problems using one-step hybrid block method

open access: yesAin 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
doaj   +1 more source

A reliable method based on second kind Chebyshev polynomial for the fractional model of Bloch equation

open access: yesAlexandria 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
doaj   +1 more source

Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique

open access: yesKuwait Journal of Science
A 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
doaj   +1 more source

Numerical comparisons among some methods for Hamiltonian problems

open access: yes, 2010
We report a few sumerical tests comparing some newly defined energy-preserving integrators and symplectic methods, using either constant and variable stepsize.Comment: 5 pages, 8 ...
Brugnano, Luigi   +2 more
core   +1 more source

Fractional boundary value problems: Analysis and numerical methods [PDF]

open access: yes, 2008
This is the author's PDF of an article published in Fractional calculus and applied analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
Bakar, Norliza Tendot Abu   +6 more
core   +3 more sources

Symmetric 2-Step 4-Point Hybrid Method for the Solution of General Third Order Differential Equations

open access: yes, 2017
This research considers a symmetric hybrid continuous linear multistep method for the solution of general third order ordinary differential equations. The method is generated by interpolation and collocation approach using a combination of power series ...
Kayode Sj, Obarhua Fo
semanticscholar   +1 more source

Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials

open access: yesJournal 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
wiley   +1 more source

Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations [PDF]

open access: yes, 2017
Preconditioning of systems of nonlinear equations modifies the associated Jacobian and provides rapid convergence. The preconditioners are introduced in a way that they do not affect the convergence order of parent iterative method.
Ahmad, Fayyaz
core   +2 more sources

Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation

open access: yesJournal 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

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