[PDF] Top 20 A New Analytical Method for Solving General Riccati Equation

... the general Riccati equation is analytically solved by a new ...the method developed, looking at the transformed equation, whether or not an explicit solution can be obtained is ... See full document

... Ten new exact solutions of the Riccati equation dy/dx = a(x) + b(x)y + c(x)y 2 are ...the Riccati equation, in the form of some integral or differential expressions, also involving some ... See full document

... transformation method of Riccati equation has been successfully applied here for solving the Hamiltonian amplitude equation and the coupled Higgs field ...This method is an ... See full document

... a general analytic method for nonlinear problems, namely HAM, [14, 15, ...perturbation method (HPM), which is a special case of HAM, to solve Riccati differential ...for solving ... See full document

... The fractional partial differential equations (FPDEs) arise in numerous problems of engineering, physics, mathematics, chemistry, biology,and viscoelasticity ( [1], [2], [3], [4]).Most fractional differential equations ... See full document

... Laplace equation and for other elliptic equations is in general ill-posed in the sense that the solution, if it exists, does not depend continuously on the initial ...elliptic equation by using ... See full document

... for solving FDEs has been an active research ...thus analytical and numerical methods must be ...for solving FDEs have been presented and they have their own advantages and ... See full document

... difference method to solve the Rosenau–RLW equation is ...the equation is preserved by the presented numerical scheme, and the existence and uniqueness of the numerical solution are ...The new ... See full document

... B u u n ∂ ∂ = x ∈Γ (6) where A is a general differential operator, B is a boundary operator, f x ( ) is a known analytical function. The operator A can be decomposed into two operators L and N , where L is ... See full document

... projective Riccati equation [10, 11, 17, 19, ...that Riccati differential equations with constant coefficients can be explicity solved by using various methods [10, 11, 17, ...iteration method ... See full document

... In general the method of VIM only a few itera- tions can be applied for Duffing and Riccati equa- tions, because as we proceed the integrand in- volved on the right hand side of ... See full document

... defined new orthogonal functions based on the shifted Legendre polynomials to obtain the numerical solution of fractional-order differential ...a new Tau technique for solving fractional partial ... See full document

... sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson DS ...subequation ... See full document

... iterative method is investigated for finding some solution of (1) in ...iterative method is ...a new iterative method is developed and its convergence analysis is also ...for solving ... See full document

... the general Riccati differential equation is solved by using the Adomian’s decomposition method (ADM) , modified Adomian’s decomposition method (MADM), variational iteration method ... See full document

... differential equation can be expressed as a polynomial in two elementary functions satisfying a pro- jective Riccati equation ...in solving a second-order lin- ear ordinary differential ... See full document

... mentioned method with other meth- ods and evaluating errors, one can get that although the accuracy of the approximate solutions of the proposed method is not very high, the method leads not to be ... See full document

... In this paper, we study an eigenvalue problem for stochastic Hamiltonian systems driven by a Brownian motion and Poisson process with boundary conditions. By means of dual transformation and generalized Riccati ... See full document

... When solving singular boundary integrals big problems arise when handling the ...element method uses an exact equivalent formulation of the problem and so, when this method is applied, errors arise ... See full document

... a new measurement into the a priori estimate to obtain an improved a posteriori ...predictor equation while the measurement update can be thought as corrector equation [1, ... See full document