Results 31 to 40 of about 985 (108)
New, Highly Accurate Propagator for the Linear and Nonlinear Schr\"odinger Equation
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
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Numerical solution of third order boundary value problems using one-step hybrid block method
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
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 treatments of nonlinear Burgers–Fisher equation via a combined approximation technique
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
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Numerical comparisons among some methods for Hamiltonian problems
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
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Fractional boundary value problems: Analysis and numerical methods [PDF]
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
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
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]
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
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Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation
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

