[PDF] Top 20 Operator Equation and Application of Variation Iterative Method

... the variation iteration method to integral-differential equ- ations, and extend some results in ...the method is also a very convenient and effective for various integral-differential equations, only ... See full document

... sum operator equation Ax + Bx + C(x, x) = x on ordered Banach spaces, where A is an increasing operator, B is a decreasing operator, and C is a mixed monotone ...an application, we ... See full document

... The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item.. Where records identify the[r] ... See full document

... eigenvalue equation A(x, x) + B(x,x) + C(x,x) = λ x and discuss its dependency to the ...an application, we utilize the results obtained in this paper for the operator equation to study the ... See full document

... straightforward application of the ideas of the method of Lagrange for ordinary differential equations or linear difference equations without advance, since a formal application of this method ... See full document

... Decomposition method (ADM) for the exact solu- tions of Fisher’s equation and a nonlinear diffusion equation of the Fisher’s type ...perturbation method (HPM), variational iterative ... See full document

... y x = 0 (38) Here is a nonlinear differential operator, which encloses the linear and nonlinear term of the Lane-Emden type equation. Now, the linear term = y ( ) n is always invertible and the nonlinear ... See full document

... In numerous applications in the past revealed that a mix- ing of the various terms in the equations for the discreti- zation and solver methods made it difficult to solve them together. To overcome this drawback, in 60’s ... See full document

... computing in numerical methods for application in the manufacturing industry. She has also published and presented about 50 papers related to variants of the iterative alternating decomposition explicit and ... See full document

... the equation is calculated in the form of a series with easily computable components like to Adomians decomposition ...decomposition method show that they are agreement with them, and HPM, VIM can solve ... See full document

... The paper is organized as follows. In Section 2, the mentioned iterative methods are introduced for solving Eq.(1.1). In Section 3 we prove the existence and uniqueness of the solution and convergence of the ... See full document

... fifth-order iterative method to find a simple root of the nonlinear ...Newton method and the classical Simpson method, for their simplicity with convergence order of two and three respectively ... See full document

... another method of regularizing Quasi-Newton iterations. This method is based on spectral cut off and gives rise to Iteratively Truncated Newton’s (ITN) scheme, which can be used for solving nonlinear ... See full document

... logistic equation and it has been very popular in population dynamics so ...derivative operator on the logistic equation to obtain the fractional order logistic ...differential equation. The ... See full document

... two-stage iterative method for solving linear ...two-stage iterative method with different inner and outer splitting matrices under suitable conditions is ...in iterative methods. ... See full document

... is linearised with the Newton-Kantorovich iterative scheme { 2.8, where now the update sk is the solution of the linear operator equation 2.12 Where to utilise this method the Frechet de[r] ... See full document

... A s F DE we know the fuzzy differential equations are one of the important part of the fuzzy analysis theory that play major role in nu- merical analysis. For example, population mod- els [5] , the golden mean [52], ... See full document

... differential equation is named after the Italian nobleman Count Jacopo Francesco Riccati ...Riccati equation, with applications to random processes, optimal control, and diffusion ... See full document

... effective method to solve large system in reason- able ...best method for all sys- tem because the goodness of a method depends to some extent upon the particular problem to be ...solved. ... See full document

... Helmholtz equation impose restrictions on the coarse grid, requiring th a t these grids be sufficiently fine for the algorithm to be ...Helmholtz operator on very coarse meshes, since such meshes cannot ... See full document