Design/methodology/approach: A variational principle is established for the generalized KdV-Burgers equation by the semi-inverse method, and the equation is solved analytically by the exp-function method, and some exact solutions are obtained, including blowup solutions and discontinuous solutions. The...
Bounded Solutions of Difference Equations in a Banach Space with Asymptotically Constant Operator Coefficient We study the problem of existence of a unique bounded solution for a difference equation on the half axis with asymptotically constant operator coefficient... AV Chaikovs'Kyi,OA Lagoda - 《Jou...
LIMITING DIRECTIONS FOR ENTIRE SOLUTIONS OF A CERTAIN CLASS OF DIFFERENTIAL-DIFFERENCE EQUATIONS POLYNOMIALSSTATISTICAL correlationDERIVATIVES (Mathematics)JULIA setsLet us consider f as being an entire solution of the differential-difference equation G(z, ... LI Yezhou,Z Liu,H Sun - 《Mathematical Rep...
In this tutorial, we chose the problem of solving a Partial Differential Equation (PDE) using a finite-difference method to illustrate the essential elements of the DPC++ programming language, including queues, buffers/accessors, and kernels (you can access the co...
count on Mr Chien to make things more difficult than they are. Francisco there isn't really a quick answer. as you probably know FD involves approximating derivatives in a pde and then solving the algebraic equations. fd is used to solve differential equations. in FE the integral equation (...
A difference equation (or map) of the formxn+1=f(xn,xn-1,...) which, together with some specified values or initial conditions, defines a sequence {xn}. Despite the seemingly simple form, difference equations have a variety of applications and can display a range of dynamics. Since maps...
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Operating under the assumptions of linear, isotropic materials, it utilizes a finite-difference method on a staggered grid to solve for the acoustic eigenmodes (field and frequency) of the vector-field elastic wave equation with a given propagation constant. Free, fixed, symmetry, and anti-...
It is also related to how people formulate the equations, that is the form of the equation before discretization. In the divergence form, the integration may seem to be easier to do. Anyway, I think it is easier to hide the assumptions under the finite volume method without mathematical ...
QuinnChapter 13Finite Difference MethodsOutlineOrdinary and partial differential equationsFinite difference methodsVibrating string problemSteady state heat distribution problemOrdinary and Partial Differential EquationsOrdinary differential equ 2、ation: equation containing derivatives of a function of one variable...