[PDF] Top 20 A Novel Power Series Method for Solving Second Order Partial Differential Equations

... about partial differential algebraic equation were done by ...the partial differential algebraic equations [ 1 ] ...linear partial differential equa- tions with constant ... See full document

... a novel method for solving fuzzy linear differential equations, which its construction based on the equivalent integral forms of original prob- lems under the assumption of strongly generalized ... See full document

... which is called the linearization formula [34]. Operational matrices are used in several areas of numerical analysis and they hold particular importance in various subjects such as integral equations [36], ... See full document

... linear second-order equations with variable coefficients and the mixed derivative term like (1), it is impossible to get an explicit fourth- order compact difference scheme with 9 grid points ... See full document

... the order conditions from order one up to order four for TSRK method by using Taylor series ...the order conditions obtained, we derived the two-stage third-order TSRK ... See full document

... transform method to solve partial differential equations, for finding suitable accurate solutions in a wider ...perturbation method in order to solve three dimensional ... See full document

... the differential equations by the corresponding difference equation and then solving the latter by a process of ...This method was devised and first used by ...to differential ... See full document

... the method is that the so- lution is expressed as a truncated Chebyshev series and thereby a Taylor ...the series coefficients, the solution u x y   , of the equations can be easily ... See full document

... the second kind [25] and fractional power series method (FPSM) ([3], [8]) to solve the multi-order non-linear fractional differential ...the second kind are utilized to ... See full document

... 2. Czerwik, S: Functional Equations and Inequalities in Several Variables. World Scientific, River Edge (2002) 3. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, ... See full document

... article power series method, as well-known method for solving ordinary differential equations, has been employed to solve linear systems of first order ... See full document

... for Solving quadratic Riccati differential equation [1], Opanuga Used for solving numerical solution of systems of ordinary differential equation by numerical analytical method [2], ... See full document

... fractional power series are generalized for the fuzzy frac- tional power series by using fuzzy Caputo deriva- ...fractional power series to solve the fractional ... See full document

... implicit method by using interpolation and integration technique, which involved the third and fourth derivatives of the solution in (1) with a constant step-size, which aim at obtaining more accurate nu- merical ... See full document

... efficient direct collocation method for the integration of general second order initial value problem.” Journal of Institute of Mathematics and Computer Science, 21, 227-327. [14] Fatokun J.O., ... See full document

... predictor-corrector method with ninth order convergence for solving nonlinear equations, Journal of Advances in Mathematics ,2, 432-437, ... See full document

... proposed method. In section 3, we apply the reduced differential transform method to solve three test examples in order to show its ability and ... See full document

... kernel method is a powerful tool to solve differential equations ...in order to solve the impulsive differential equation, for the first time, we propose a broken reproducing kernel ... See full document

... perturbation method is known to be a powerful device for solving many functional equations such as ordinary, partial differential equations, integral equations and so many ... See full document

... Euler method. The nu- merical method for solving FFDE is an area not yet widely investigated, in this paper we intro- duce a Predictor-Corrector method for solving fuzzy fractional ... See full document