A novel representation of the exact solution for differential algebraic equations system using residual power-series method

DOI10.1155/2015/205207zbMath1418.34022OpenAlexW1990950138WikidataQ59105670 ScholiaQ59105670MaRDI QIDQ1723224

Ishak Hashim, Khaled Moaddy, Mohammed Al-Smadi

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/205207

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Analytical solution for the time fractional BBM-Burger equation by using modified residual power series method ⋮ Computational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equations ⋮ An efficient analytical-numerical technique for handling model of fuzzy differential equations of fractional-order ⋮ Numerical solutions of fractional systems of two-point BVPs by using the iterative reproducing kernel algorithm ⋮ A numerical approach based on Taylor polynomials for solving a class of nonlinear differential equations ⋮ Construction of fractional power series solutions to fractional stiff system using residual functions algorithm ⋮ Efficient techniques for traveling wave solutions of time-fractional Zakharov-Kuznetsov equation ⋮ An analytical numerical method for solving fuzzy fractional Volterra integro-differential equations ⋮ Advanced analytical treatment of fractional logistic equations based on residual error functions

Cites Work

• New results on fractional power series: theories and applications
• A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations
• Application of He's variational iteration method for solution of differential-algebraic equations
• Adomian decomposition method for solution of nonlinear differential algebraic equations
• System of linear ordinary differential and differential-algebraic equations and pseudo-spectral method
• Arbitrary order numerical method for solving differential-algebraic equation by Padé series
• On the numerical solution of differential-algebraic equations by Padé series
• Numerical solutions of chemical differential-algebraic equations
• A numerical iterative method for solving systems of first-order periodic boundary value problems
• Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method
• The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs)
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• On the numerical solution of chemical differential-algebraic equations by Padé series
• Numerical solution of differential--algebraic equation systems and applications
• Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations
• A representation of the exact solution of generalized Lane-Emden equations using a new analytical method
• A reliable analytical method for solving higher-order initial value problems
• Iterative reproducing kernel method for solving second-order integrodifferential equations of Fredholm type
• Adomian decomposition method for solution of differential-algebraic equations
• Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Chebyshev series approximation for solving differential–algebraic equations (DAEs)
• Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications
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