[PDF] Top 20 HAAR WAVELET METHOD FOR THE SOLUTION OF TWO DIMENSIONAL PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

... The Haar wavelet preliminaries and the function approximation are presented in Section 2 and Section 3 ...The method of solution of the two-dimensional heat equation using ... See full document

... — Wavelet transforms or wavelet analysis is a recently developed mathematical tool for many ...apply Haar wavelet methods to solve ordinary differential equations with initial or ... See full document

... ordinary differential equation can continuously holds ...apply Haar wavelet methods to solve finite-length beam differential equations with initial or boundary conditions ...the ... See full document

... the solution of integral and integro-differential equations is known and many different basic functions have been ...integro- differential equations. For solving these equations, ... See full document

... This method is applied to solve a nonlinear order ordinary or partial differential equa- tion in N-dimensions as a limit of a sequence of linear differential ...the method is based on ... See full document

... integro differential equations are used in various fields of science and ...a solution of PIDE by the method of ...iteration method (VIM) to solve PIDE arising in ...element ... See full document

... efficient solution of systems of linear and nonlinear partial differential equations (PDEs) of parabolic ...to two very different example ... See full document

... the two-level method: The two-level implicit methods for the particular type of the fourth-order parabolic PDE () are unconditionally ... See full document

... viz. Haar, Daubechies, Bi- orthogonal, Coiflets, Morlet, Mexican hat and Meyer etc ...Alfred Haar [2] introduced the idea of wavelets and these wavelets became important tool for the solution of ... See full document

... for solution of three dimensional partial differential equations (PDEs) or time depending two dimensional ...proposed method is mathematically simple and fast. ... See full document

... analytical solution to the advection-diffusion equation when initial and boundary conditions are complicated, even with constant coefficients a and ν ...numerical solution of Equation ...on Wavelet ... See full document

... discussed two methods. In Method- I, they decomposed equation ...order equations and have solved them by using cubic B-spline and in Method-II, they have solved equation ...numerical ... See full document

... This method provides an effective and efficient way of solving a wide range of non-linear ...this method is its capability of combining two powerful methods for obtaining exact solutions for ... See full document

... numerical method consists of combining Haar basis method and Tikhonov regularization ...the method to solve some inverse problems for two- dimensional parabolic and ... See full document

... the Wavelet based Galerkin method for numerical solution of one dimensional partial differential equations using Hermite ...the partial differential ... See full document

... of differential and integral equations require development of accurate and fast algorithms based on ...scale. Haar wavelet offers a promising solution bases due to simple mathematical ... See full document

... implicit method was first suggested by Douglas, Peaceman and Richard for solving the heat equation in two spatial variables and alternating direction implicit methods have proved valuable in the ... See full document

... T h by Dubois and Prade [11] and then investi- e concept of fuzzy integrals was initiated gated by Kaleva [21], Goetschel and Voxman [20], Nanda [25] and others. In [35], the Henstock in- tegral of fuzzy-valued functions ... See full document

... approximated solution and bounds for the error of the estimated solution using the techniques on moments ...one- dimensional one-phase inverse Stefan ... See full document

... DGJ method is ...fractional differential equation with Caputo fractional definition. This method gives the exact solution that is obtained by Laplace transform method depend on ... See full document