[PDF] Top 20 I. Numerical solution of exact pair equations. II. Numerical solution of first-order pair equations

... The results for the ground states are superior to previously reported values~ The coupled equations resulting from the partial wave expansion of the exact helium atom wavefunction were s[r] ... See full document

... Picard’s and Taylor’s series methods are powerful mathematical tools for solving linear and nonlinear differential equations. It is concluded that Picard’s and Taylor’s series methods gives more accurate ... See full document

... In this section, the exact solutions and approximated solutions obtained by He’s variational iteration method and Leapfrog method. To show the efficiency of the He’s variational it- eration method, we have ... See full document

... solve first order differential equation using Hopfield neural network ...differential equations using Splines and feed forward neural ...differential equations have been excellently presented ... See full document

...  I, 0 <   I provided the equation defines fuzzy number as in ...let I be a real interval. A mapping z: IE is called a fuzzy process and its  - level set is denoted by   z   t    ... See full document

... integral equations, linear or non-linear, homogeneous or inhomogeneous, with constant or variable ...the numerical solution [2]. The ADM decomposes a solution into an infinite series which ... See full document

... Picard’s and Taylor’s series methods are powerful mathematical tools for solving linear and nonlinear differential equations. It is concluded that Picard’s and Taylor’s series methods gives more accurate ... See full document

... of first order ordinary differential equations, is asymptotically stable (in the Liapunov sense) if and only if 1° is bounded as n -* «, and the matrix U is positive seoi-definite; and that the aero ... See full document

... integral equations of the first kind are ill-posed problems, that is, a small perturbation in the given data makes a large perturbation in the solution ...These equations in two-dimensional ... See full document

... differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ...algebraic equations. Several numerical examples are provided to illustrate the ... See full document

... the exact solution and its approximate solution in Examples ...the numerical results, it is clear that the DTM is efficient and ...the order of approximation more accuracy can be ...the ... See full document

... based on Laguerre polynomial series expansion of the inverse function under the assump- tion that the Laplace transform is known on the real axis only. The main contribution of the paper is to provide computable ... See full document

... the numerical solution of the steady state Navier-Stokes (NS) equations in the horizontal plane and random load values, corresponding to the “physics” computations, in the vertical ...the ... See full document

... following numerical methods: Projection methods including collocation method and Galerkin method, Degenerate kernel approximation methods and Nystr ̈m methods, for approximating the solution of the Fredholm ... See full document

... v  0   ,   1 , where D  u is the derivate of u of order  , D  v is the derivative of v of order  in the sense of Caputo. The algorithm is based on the fractional s s method. ... See full document

... We are presenting two efficient numerical schemes for solving the Navier-Stokes in the Stream function-vorticity formulation. The idea of the fixed point iterative method was to work with a symmetric positive ... See full document

... differential equations (FDEs) is a popular topic studied by many researchers since it is utilized widely for the purpose of modeling problems in science and ...the solution of a FDE which satisfies fuzzy ... See full document

... The effectiveness of the proposed method is illustrated by considering two numerical examples. Thehigh degree B-spline basis function is usedin collocation method and comparedwith lessdegree B-spline basis ... See full document

... obtained numerical results are shown in Table I and Figs 1-4. In Table I, the absolute error between the exact solution and the approximate solution, at m = 16 (in columns 2,3) ... See full document

... STWS technique was introduced by Rao et al. [10]. Balachandran and Murugesan applied STWS technique to solve first order system of IVPs[11, 12]. Murugesan and Paul Dhayabaran extended STWS technique for ... See full document