[PDF] Top 20 Solving the Systems of Differential Equations by a Power Series Method
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Solving the Systems of Differential Equations by a Power Series Method
... the power series expansions of A i , B i , C i , i 1 , 2 are valid on an interval ( t 0 R , t 0 R ) , R 0 , then power series expansions of these solutions are also valid on the same ... See full document
5
A new numerical scheme for solving systems of integro-differential equations
... as series solution method [13], homotopy perturbation method [9, 10], Adomian decomposition method [2, 3, 16] and variational iteration method [1, 12, 15] have been used to solve the ... See full document
12
Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... Carlo method we use queueing networks as in [7] for solving nonlinear equations and linear systems of ...linear systems of equations we use Jackson queueing networks (see [10]) ... See full document
16
A Strong Method for Solving Systems of Integro Differential Equations
... wavelets method in the literature [1-3]. Systems of integro-differential equations arise in ma- thematical modeling of many ...for solving these systems such as, Adomian ... See full document
9
Second kind shifted Chebyshev polynomials and power series method for solving multi-order non-linear fractional differential equations
... fractional power series method (FPSM) ([3], [8]) to solve the multi-order nonlinear fractional differential ...fractional differential equations to the solution of non-linear ... See full document
10
A Fuzzy Power Series Method for Solving Fuzzy Differential Equations With Fractional Order
... u differential equations have excited in recent zzy fractional calculus and fuzzy fractional years as a considerable interest both in math- ematics and ...fractional differential equations ... See full document
8
Solution of Delay Differential Equations Using a Modified Power Series Method
... for solving DDEs, Spline methods (see [7]-[9]), Homotopy Analysis Method (HAM) [10], Homotopy perturbation method (HPM) [11], Adomain decomposition method (see [12]-[14]), Iterative ... See full document
5
Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations
... Lax-Wendroff method (LWM) that is commonly used and/or modified in computational fluid dynamics that involve ...the method, to show its efficacy and its potential strengths for variable coefficient PDEs and ... See full document
21
Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... perturbation method [3], the Adomian decomposition method [4], but each method limits to a special class of integro-differential ...iteration method for solving some ... See full document
9
Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations
... NTEGRO-DIFFERENTIAL equations arise in modeling various physical and engineering ...problems. Solving such equations is very interesting, and several numerical and analytical methods have been ... See full document
7
Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations
... for Solving quadratic Riccati differential equation [1], Opanuga Used for solving numerical solution of systems of ordinary differential equation by numerical analytical method ... See full document
9
SERIES SOLUTION OF TYPHOID FEVER MODEL USING DIFFERENTIAL TRANSFORM METHOD
... discussed. Differential Transformation Method (DTM) is discussed in detail, which is used to compute the series solution of the non-linear system of differential equation governing the model ... See full document
14
A. One Dimensional Differential Transform Method
... Reduced differential transform method (RDTM) is implemented for solving the linear and nonlinear Klein Gordon ...a series with easily computable ... See full document
5
Numerical Solution of First Order Ordinary Differential Equations
... order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential equations of the first ...Taylor series ... See full document
10
A Five Step P Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations
... In this study, we shall develop continuous multistep collocation method for the solution of third order ordinary differential equations using power series as the basis function... Power [r] ... See full document
8
Solving nonlinear Lane-Emden type equations with unsupervised combined artificial neural networks
... a method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite ...(UCANN) method. Firstly, The ... See full document
12
On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations
... for solving non-linear differential equations is ...iteration method and Adomian decomposition method in solving non-linear differential ... See full document
12
Numerical Solution of First Order Ordinary Differential Equations
... Taylor’s series methods are powerful mathematical tools for solving linear and nonlinear differential ...Taylor’s series methods gives more accurate solutions, which are much closer to exact ... See full document
10
The Lanczos Chebyshev Pseudospectral Method for Solution of Differential Equations
... of series expansion solutions using orthogonal polynomials such as Chebyshev polynomials with the equivalent Chebyshev economized power se- ...simple power functions that could be used universally ... See full document
12
Power series method and approximate linear differential equations of second order
... Obłoza seems to be the first author who has investigated the Hyers-Ulam stability of linear differential equations (see [, ]). Thereafter, Alsina and Ger [] proved the Hyers- Ulam stability of the differential ... See full document
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