[PDF] Top 20 Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems

... the solution of singular initial and bound- ary value ...Hermites wavelets method [2, 25], New ultraspherical wavelet collocation method [5], Differential transformation ... See full document

... finding numerical solutions of singular differential equations, partic- ularly those arising in physiology, has been focused by several ...of nonlinear SBVP arising in physiology to a sequence of ... See full document

... value problems analytically is possible only in very rare ...their numerical solutions ...spline solution of two point boundary value problems, in [6] Feng and Li solved a ... See full document

... the numerical develop- ment methods that are numerically stable for both linear and nonlinear fraction- al differential equations ...various problems of dynamic ... See full document

... precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact ...Runge-Kutta method (we will refer to it as RK3 method) positivity is not ensured ... See full document

... iterative method to solve linear and nonlinear initial boundary value problem (IBVP) with non local conditions was ...new method is an elegant combination of traditional ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... about numerical methods applying Trigonometric B- spline for solution of differential equations including singular boundary value problems and perturbation ...for solution ... See full document

... fifth-order boundary value problems are solved by means of septic B-splines collocation me- ...the nonlinear problems to linear problems and reduce a boundary ... See full document

... are linear. Furthermore, it is noted that the method of the Six- Stage Fifth Order Runge Kutta Method (RK56) has not been employed yet on first order nonlinear ...-Kutta method for ... See full document

... the singular BVPs of the form ()- ...for singular BVPs via various ...iteration method [], Chang em- ployed the Taylor series method [], Singh and Kumar proposed a new technique based on ... See full document

... The method (14) appears to me similar to the implicit Euler me- thod available in [7], for initial value problems in ordinary differential ...of nonlinear equations in y i + 1 and y ′ N ... See full document

... For the linear problem, Abu-Zaid and El-Gebeily [1] generalized the method in [3] to w(x) = p(x). Recently, El-Gebeily and Abu-Zaid [7] relaxed this requirement and several other assumptions, however, the ... See full document

... stable numerical solutions for partial differential equations or integral equations with all kinds of boundary conditions without using any mesh to solve that ... See full document

... 2) Although the approximation error is depended on the order of a wavelet in many simulations the Shannon wavelet led to much better approximations than Daube- chies wavelets of higher order, if the approximation ... See full document

... Abstract— This article describes the setting of the parameters in a wavelet collocation method which minimizes the sum of squares of residuals. In a research project several different types of differential ... See full document

... Stefan problems in which material melts or solidifies occur in a wide variety of natural and industrial ...moving-boundary problems, in which the location of the front between the solid and liquid is ... See full document

... [15-17], numerical analysis and many other fields in recent ...on wavelets methods for approximating the solution of the problems [18, 19], such as Haar wavelets method [8], SAC ... See full document

... B-spline functions are useful wavelet basis functions; the stiffness matrix is sparse when it is used as trial functions. B-splines were introduced by Schoenberg in 1946 [5]. Up to now, B-spline approximation ... See full document

... a singular point of the ...a singular point [12- 13].There is at present, numerical method for solving problems with regular singular points using Hermite interpolation ... See full document