[PDF] Top 20 Some Remarks to Numerical Solutions of the Equations of Mathematical Physics

... The equations of conservation laws are differential (or integral) equations that describe the variation of func- tions corresponding to physical quantities like the parti- cle velocity (of elements), ... See full document

... N-soliton solutions are presented by using the perturbation ...wave solutions are derived successfully, and the asymptotic properties of periodic wave solutions show that periodic wave solution ... See full document

... and physics. Calculating exact and numerical solutions, in particular, traveling wave solutions, of nonlinear equations in mathematical physics plays an important role in ... See full document

... wave solutions for the above mentioned two high-dimensional nonlinear equations by taking full advantage of the extended solutions of the following general elliptic ... See full document

... exact solutions for the variant Boussi- nesq equations and the coupled KdV ...evolution equations in mathematical physics and have been paid attention by many ... See full document

... nuclear physics, high energy physics, plasma physics, solid state physics, optical fibers, biology, chemical kinematics, chemical physics and so ...on. Mathematical modeling of ... See full document

... their suggestions gave me ideas on how to optimize this manuscript. I want to give my sincere thanks to Professor Juliette Ioup from the Department of Physics and Professor Ralph Saxton from the Department of ... See full document

... of mathematical physics can be started in the form of integral ...These equations also occur as reformulations of other mathematical problems such as partial differential equations and ... See full document

... exact solutions involving parameters of some nonlinear PDEs in mathematical physics; namely the one-dimensional modified complex Ginzburg- Landau equation by using the (G 0 /G) expansion ... See full document

... wave solutions involving para- meters for nonlinear evolution ...wave solutions are derived from the exact traveling wave ...powerful mathematical tool for solving nonlinear evolution ... See full document

... result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity and multifluid flows, or some new cosmological models ... See full document

... R., ''Some Numerical Results for the Solution of the Heat Equation Backwards in Time," Numerical Solutions of Nonlinear Differential Equations.. and Hilbert D., Methods of Mathematical P[r] ... See full document

...  i  0,1, 2,   . Equating each coefficient of the poly- nomial to zero yields a set of simultaneous algebraic eq- uations omitted here for the sake of brevity. Solving these algebraic equations by either Maple ... See full document

... known numerical-analytic method based on successive ...differential equations with separated boundary conditions. In order to avoid some technical difficulties, we deal in this article, for ... See full document

... algebraic equations with unknown Laguerre ...integro-differential equations. Finally, numerical examples illustrate the efficiency and accuracy of the ... See full document

... differential equations on half-line associated with monotone operators,” Journal of Mathematical Analysis and Applications, ...of Mathematical Sciences, University of Texas at El Paso, El Paso, TX ... See full document

... Hyperbolic equations are attracted for sufficiently adequate description of a great deal of real processes occurring in the nature, engineering and etc. In particular, many processes arising in the theory of fluid ... See full document

... nonclassical solutions to multidimensional Hamilton-Jacobi equations, for both scalar and vectorial ...of solutions in many cases for which the usual viscosity approach was ill-suited or not ... See full document

... were first introduced and discussed by Bellman 1, 2. Afterwards, further analyses on the properties of solutions for the functional equations 1.1 and 1.2 and others have been studied by several authors in ... See full document

... [15] J. H. He, “Variational Iteration Method—A Kind of Non- linear Analytical Technique: Some Examples,” Interna- tional Journal of Non-Linear Mechanics, Vol. 34, No. 4, 1999, pp. 699-708. ... See full document