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[DOC File]Physical problem for Nonlinear Equations:General Engineering
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Thus for each time period we have 5000 iterations. We solve the partial differential equation using Crank-Nicholson scheme. The initial value of the wave function and the boundary conditions are chosen as follows to reflect the occupancy of the left well by the electron and high potential barrier outside the range of under consideration.
one dimensional wave equation

[DOC File]Partial Differential Equations
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Geometrically, the above solution of the wave equation is an average of two waves traveling in opposite directions with shapes determined from the initial displacement. Example 7.3-2. _____ An infinite string is subjected to the initial displacement. f(x) =
solutions to the wave equation

[DOC File]www.ecs.csun.edu
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The first two terms have just been shown to satisfy the differential equation. In order to show that the integral satisfies the differential equation we need to use the following formula for differentiation under the integral sign. We can apply this general result to compute the space and time derivatives for the wave equation.
the wave equation

[DOC File]Physics 406 - St. Bonaventure University
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B. The Schrödinger Equation. 1. Wave Equation. The one-dimensional wave equation is . a. Solution. The wave equation has solutions of the form , , and . These are all traveling harmonic waves, where the wave number is and the angular frequency is . (f is the frequency in Hz.) We’ll concentrate on the complex exponential form: . Then the ...
linear wave equation

[DOC File]Tanh-Coth Method for Nonlinear Differential Equations
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New travelling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method. Journal of Applied Mathematics (Article ID: 575387, In Press). 17.
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[DOC File]California State University, Northridge
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The solution of the wave equation by separation of variables proceeds in a manner similar to the solution of other partial differential equations. We postulate a solution that is the product of two functions, X(x) a function of x only and T(t) a function of time only.
solving wave equation

Wave equation differential equation