The power series method.
Solving the Systems of Differential Equations by a Power Series Method
... article power series method, as well-known method for solving ordinary differential equations, has been employed to solve linear systems of first order differential ...the method for ...
5
A Novel Power Series Method for Solving Second Order Partial Differential Equations
... purpose, power series method can be ...usefulness power series method presented for the approximate solution of the second-order linear partial differential equations is ...the ...
10
Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations
... The method introduced by Parker and Sochacki provides a function that is de- fined over an entire time interval and is an accurate approximation to the solu- tion to the contingent claim ...this method is ...
21
Solution of Delay Differential Equations Using a Modified Power Series Method
... A simple and straight forward technique based on the power series method has been studied for the solution of delay differential equations. This new approach is implemented without using restrictive ...
5
Power series method and approximate linear differential equations of second order
... the power series method with respect to each differential equation in order to study the Hyers-Ulam ...a power series method that can be comprehensively applied to different types ...
9
A Fuzzy Power Series Method for Solving Fuzzy Differential Equations With Fractional Order
... and method of their solution were discussed by many authors: the concept of Riemann-Liouville fractional dif- ferential equations with uncertainly based on the Hukuhara differentiability was introduced by Agarwal ...
8
Approximate solution of laminar thermal boundary layer over a thin plate heated from below by convection
... presented method, a fair comparison was made between the presented solution and numerical ...presented method (PS - Padé) reduced computational difficulties of other methods (the same as the HAM ...by ...
13
Online Full Text
... inversion method and approximation is the only alternative ...two. Power series, Adomian decomposition method (ADM) and differential transform method (DTM) was used to find the solution ...
6
Comparison of Methods for Solving Time-Fractional Drinfeld-Sokolov-Wilson System
... transform method [8], residual power series method (RPSM) [9], [16], coupled fractional reduced differential transform method (CFRDTM) [17], collocation method [18], [19] and so ...
7
Two Analytical Methods for Fractional Partial Differential Equations with Proportional Delay
... by choosing auxiliary parameters properly. Recently, Arqub [26] has presented residual power series method (RPSM) to get power series solutions with rapid convergence. For more details ...
8
Quantile Approximation of the Chi–square Distribution using the Quantile Mechanics
... The power series method was used to find the solution of the Chi-square quantile differential equation (equation (12)) for different degrees of ...the series solution takes the form of ...
7
Abel type weighted means transformations into ℓ
... Theorem 2 gives an important inclusion result in the - setting that parallels the famous inclusion result that exists between the power series method of summability and its corresponding[r] ...
8
Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques
... perturbation method (HPM), and modified power series ...perturbation method and the homotopy ...the method and the results of errors are ...the series, revealing the ...
19
Vol 2, No 8 (2011)
... Power series solution is a powerful and easiest tool to solve complicated nonlinear coupled differential ...by power series method and applied Pade to find singularities and show the ...
5
Sinc-Galerkin method for approximate solutions of fractional order boundary value problems
... lution method which could be used at almost every sorts of problems has not yet been ...standard method for problems regarding frac- tional calculus has not ...as power series method ...
14
Sinusoidal Time Dependent Power Series Solution to Modified Duffing Equation
... One of the questions was “...has the Power Series Method been tested for nonli- near terms higher than three?” the answer was negative. The author initiated the investigation crafting this note. The ...
10
Download Download PDF
... on power series method to study the free vibration behavior of thin-walled beam with non-symmetric cross-section resting on two-parameter elastic foundation by considering shear ...Mohr ...
25
Optimal Location of the Facts Devices using the Sensitivity Approach for the Enhancement of ATC and Voltage Profile in Deregulated Power System
... of power system and its components enabled the engineers to satisfy the growing need for the electrical power ...demand. Power system load growth is increasing at a faster pace compared to that of ...
7
SERIES REPRESENTATION OF POWER FUNCTION
... We assume now that generalization of A287326 holds for odd powers of the form 2m + 1, m = 0, 1, 2, ..., where A287326 is partial case for m = 1. To generalize our sequences A287326, A300656, A300785 for every odd ...
27
Series Representation of Power Function
... of power n = 3, received using l l n k k k to high power u > ...the power of (x + y) n into a sum involving terms of the form ax b y c where the exponents b and c are nonnegative integers with b+c ...
15