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 ...
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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 ...
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Solution of Delay Differential Equations Using a Modified Power Series Method
... Modified Power Series Method (MPSM) for the solution of delay differential ...traditional power series method which is applied to solve only linear differ- ential equations, this ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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Approximate solution of laminar thermal boundary layer over a thin plate heated from below by convection
... symbolic power series method - Padé approximation technique (PS - Padé), was utilized to solve a system of nonlinear differential equations arising from the similarity solution of laminar thermal ...
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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 ...
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Quantile Approximation of the Chi–square Distribution using the Quantile Mechanics
... the method is second order nonlinear ordinary differential equation (ODE) which was solved using the traditional power series ...this method will help in modeling and simulation of physical ...
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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 ...
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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 ...
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Optimal Location of the Facts Devices using the Sensitivity Approach for the Enhancement of ATC and Voltage Profile in Deregulated Power System
... deregulated power system is very essential in the power ...Repeated power flow program is used to calculate the voltage constrained ATC and ...the power world simulator ...
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Optimal Location of Multiple FACTS Device Using Sensitivity Methods
... active power flow coupled with θij and reactive power flow is linked with difference between the ...the power flows in the power system ...
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Vol 4, No 11 (2013)
... Using the automatic Taylor expansion, we give some new numerical methods to partial fractions decomposition of rational functions. Firstly, we consider the Taylor differential transform that associates to a function the ...
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A Five Step P Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations
... multistep method (LMM) with step number k = 5 through collocation and interpolation techniques using power series as basis function for ap- proximate ...Taylor’s series algorithm of the same ...
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To Analyze Inhomogeneous Planar Layers by Cascading Thin Linear Layers
... efficient method of analysis for inhomogeneous media shields and filters,” IEEE ...difference method,” Progress In Electromagnetics Research, PIER 59, 187–198, ...
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