[PDF] Top 20 2. A new method for solving the modified Helmholtz equation

... Many physical and engineering problems in areas like geophysics and seismology require the solution of a Cauchy problem for the Laplace equation. For example, certain problems related to the search for mineral ... See full document

... One of the important tasks of quantum mechanic is find- ing accurate answers of Schrodinger equation with a cer- tain potential. It is obvious that finding exact answers of SE by the usual and traditional methods ... See full document

... This method has been used for solving inverse heat conduction problem 12, and sideways heat equation 13, sideways parabolic equation ...proposed method can be found in Section ... See full document

... the modified Helmholtz equation have been ...integral equation method has been proposed and a simplified Tikhonov regularization has been presented in ...regularization method to ... See full document

... in the Cartesian domain Ω = − [ 1,1 ] [ ⊗ − 1,1 ] , subject to homogeneous Di- richlet boundary condition, discretized with the Chebyshev pseudo-spectral method. The main purpose of this paper is to present the ... See full document

... Integral-differential equations appear in many scientific applications, especially when we convert initial value problems or boundary value problems to integral equations. The integral-differential equations contain both ... See full document

... multistep method has been applied in solving ...performance method while an explicit method is said to be less effective than the implicit method in solving differential ... See full document

... For solving the nonlinear partial differential equations there as been many schemes applied such as Kudryashov method by ...[16]. Modified Kudryashov method by ...Kudryashov method by ... See full document

... dynamics equation is a mathematical model which is based on the physical laws of conservation, namely: the laws of conservation of mass, conservation of momentum, conservation of energy and many ... See full document

... Riccati Equation and developed a restricted analytical solution ...the method requires specific conditions among the coefficients in the equation, it cannot be considered a general ...Riccati’s ... See full document

... the modified HPM suggested by Momani and al. [23] for solving the time-fractional Fisher’s equation and we use the classical HPM to derive numerical solutions of the space-fractional Fisher’s ...HPM ... See full document

... Integral equation theory and its application in applied mathematics is an important ...use modified the trapezoidal quadrature rule to solve the linear Volterra integral equations of the second ... See full document

... The Helmholtz equation is solved by FEM and spectral-element method, but the limitations of these methods are of high computa- tional cost ...the Helmholtz equation suffer due to their ... See full document

... for solving the weighted Helmholtz equation resulting from the bilinear transformation for the two-wire waveguide, they considered a baseless assumption ( w = ρ 1 ρ 2 ) in order to just obtain ... See full document

... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...collocation method to discretize space fractional diffusion equations to obtain a linear system of ... See full document

... heat equation, the linearization of the Poisson–Boltzmann equation [2–4], and so ...the Helmholtz-type equation have been studied widely in the past century [5, ...some new ... See full document

... Helmholtz equation is very important in a variety of science and engineering prob- lems, for example, in physics, technology, geophysics and optical ...for solving the Helmholtz ...element ... See full document

... linear combination of TM and TE modes in elliptical waveguide [22]. The subscripting symbol c, s represent odd mode and even mode in the hybrid modes respectively. The solution of ten lowest-order hybrid modes are ... See full document

... Helmholtz equation appears from general conservation laws of physics and can be interpreted as wave ...equations. Helmholtz equation is widely applied in the scientific and engineering design ... See full document

... Helmholtz equation. We propose the Landweber iterative regularization method to solve this problem and obtain the regularization ...iterative method works well for solving this ... See full document