[PDF] Top 20 New basis functions for wave equation
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New basis functions for wave equation
... Abstract. The Dierential Transfer Matrix Method is extended to the complex plane, which allows dealing with singularities at turning points. The results for real-valued systems are simplied and a pair of basis ... See full document
6
Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential
... and wave functions of the Schrödinger Equation (SE) associated with a new class of spherically symmetric hyperbolic potentials is ...calculable functions. The corresponding eigen- ... See full document
16
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... the wave number and the wave speed, ...reduced equation (6), balance the terms of the tan functions when (8) are used, or balance the terms of the cot functions when (9) are used, and ... See full document
5
Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation
... produce new types of wavelets via employing RBF as the basis instead of the well-known usual ...‘central basis function’ that was produced in [11] presenting a model that yields conventional ... See full document
8
Energy levels in muonic helium
... solving equation (9) with trial functions (8), an iterative process is constructed, gradually increasing the dimension of the basis from 1 to ...the basis is increased by one, and new ... See full document
8
Application of new basis functions for solving nonlinear stochastic differential equations
... This paper suggests a computational technique for solving of the nonlinear stochastic differential equation. We use from the stochastic operational matrix based on the NBFs in combination with the collocation ... See full document
10
The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
... KdV equation, the solutions for the (2 + 1)-dimensional fifth-order KdV equation are good at understanding the nonlinear phenomena in the fluid dy- ...an equation is derived based on a logarithm ... See full document
6
New Numerical Method for Determining the Scattered Electromagnetic Fields from Thin Wires
... a new set of orthogonal basis functions called triangular functions (TFs) is used and applied to the method of moments for determining the scattered fields from thin ...integral equation ... See full document
12
Solutions of Zhiber Shabat and Related Equations Using a Modified tanh coth Function Method
... obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordon equation, Dodd-Bullough-Mikhailov equation, and ... See full document
12
Ultra-Weak Variational Formulation and efficient Integral Representation in Electromagnetism: a thorough study of the algorithm complexity
... plane wave basis functions, and an integral representation of the unknown field to obtain an exact artificial boundary ...the new algorithm considering a 1-level or multilevel Fast Multipole ... See full document
8
Simple Method of the Formation of the Hamiltonian Matrix for Some Schrodinger Equations Describing the Molecules with Large Amplitude Motions
... the basis functions used for expansion of the wave functions and the potential energy of a system are adequately selected, the Schrödinger equation takes the matrix form, in the end its ... See full document
6
Spin - 1/2 wave equations in relativistic quantum mechanics
... -1/2 wave equation w ith four solutions to describe th e spin an d charge degrees of freedom seen in n a tu re ...irac equation indeed has four solutions, describing degrees of freedom in th e spin ... See full document
146
Study on A Standing Wave Thermoacoustic Refrigerator Made of Readily Available Materials
... . For this gradient, the temperature change along the wall matches the temperature change due to adiabatic compression, and no heat flows between the gas and the wall. The critical temperature gradient will be summarized ... See full document
30
Article Inverse Multiquadratic Functions as Basis for Rectangular Collocation Method to Solve the Vibrational Schrödinger Equation
... of basis functions (N), and the necessity to compute the integrals often requires PES values at millions of locations ...Such functions are not trivial to construct with high accuracy even for a ... See full document
10
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... Abstract By means of the homogeneous balance method we explore a new application of this method for obtaining the new soliton solutions of the generalized sine–Gordon equation. The idea introduced in ... See full document
6
Generalised Fourier transform for the Camassa Holm hierarchy
... Camassa-Holm equation represent a complete basis of functions, which helps to describe the Inverse Scattering Transform for the Camassa-Holm hierarchy as a Generalised Fourier ...Camassa-Holm ... See full document
40
Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion
... a basis for perfecting and testing computer algebraic software, such as Maple, Mathematica, MatLab etc for solving ...these functions and ...simple equation method [1, 2], the ( G ′ / G ) - expansion ... See full document
6
The 1-D Wave Equation
... Recall that f (x) is the shape of the original pulse, so that on the first half of the string we have the negative of the forward wave. In other words, the forward wave went off the end x = 1 and reappeared ... See full document
24
Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation
... The notion of conservation laws is important in the study of nonlinear evolution equations (NLEEs) appear- ing in mathematical physics [19]. The mathematical ori- gin of conservation laws results from the formulation of ... See full document
5
Franck Condon simulation of the single vibronic level emission spectra of HSiF and DSiF including anharmonicity
... harmonic basis functions em- ployed in the variational calculation, but found that no sig- nificant improvement could be ...the basis set used, in order to obtain a better agreement between the ... See full document
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