Results 31 to 40 of about 148,221 (168)
A Local Strong form Meshless Method for Solving 2D time-Dependent Schrödinger Equations
پژوهشهای ریاضی, 2018 This paper deals with the numerical solutions of the 2D time dependent Schr¨odinger equations by using a local strong form meshless method. The time variable is discretized by a finite difference scheme. Then, in the resultant elliptic type PDEs, special
Fariba Takhtabnoos, Ahmad Shirzadi
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Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field
Mathematical Modelling and Analysis, 2012 Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial ...
Andrejs Cebers, Harijs Kalis
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Method of lines solution to the transient SBS equations for nanosecond Stokes pulses [PDF]
Journal of the European Optical Society-Rapid Publications, 2013 The spectral and temporal evolution of distributed sensing based on stimulated Brillouin scattering (SBS) in optical fibers for several-nanosecond Stokes pulses is demonstrated by using the method of lines (MOL) solution of the transient SBS equations. A
Gökhan F. S. +2 more
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Approximate Solution of PHI-Four and Allen–Cahn Equations Using Non-Polynomial Spline Technique
MathematicsThe aim of this work is to use an efficient and accurate numerical technique based on non-polynomial spline for the solution of the PHI-Four and Allen–Cahn equations.
Mehboob Ul Haq +3 more
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Symmetrizable finite difference operators [PDF]
Mathematics of Computation, 1990 We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss’ theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (x, t)-variable coefficients.
openaire +2 more sources
Numerical Procedures for Relativistic Atomic Structure Calculations
Atoms, 2020 Variational methods are used extensively in the calculation of transition rates for numerous lines in a spectrum. In the GRASP code, solutions of the multiconfiguration Dirac–Hartree–Fock (MCDHF) equations that optimize the orbitals are represented by ...
Charlotte Froese Fischer, Andrew Senchuk
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Numerical Analysis of the Burger Equation using Finite Differences [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The Burger equation had been solved numerically by using two finite differences methods. The first is explicit scheme method and the second is Crank–Nicholson method.
Saad Manna, Badran Salem
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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One-dimensional adaptive grid generation
International Journal of Mathematics and Mathematical Sciences, 1997 In this work, we give an adaptive grid generation method which allows a single point to be added in the regions of large variation. This method uses a quadrature rule as a weight function.
Ahmed M. M. Khodier, Adel Y. Hassan
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Discrete and Continuous Models and Applied Computational ScienceWe introduce a numerical method to solve the two-dimensional time-dependent Schrödinger equation, which characterizes a system of two atoms with a finite-range interaction potential confined within a harmonic oscillator trap.
I. S. Ishmukhamedov +2 more
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