Application of variational iteration method to fractional hyperbolic partial differential equations

DOI10.1155/2009/824385zbMath1190.65185OpenAlexW2093103453WikidataQ58649510 ScholiaQ58649510MaRDI QIDQ966298

Fadime Dal

Publication date: 23 April 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222619

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Hyperbolic equations and hyperbolic systems (35L99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (11)

Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Numerical solution of nonlinear Fredholm integrodifferential equations of fractional order by using hybrid of block-pulse functions and Chebyshev polynomials ⋮ Numerical simulation of power transmission lines ⋮ Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions ⋮ Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations ⋮ Convergence of variational iteration method for solving singular partial differential equations of fractional order ⋮ Analytical solutions of linear fractional partial differential equations using fractional Fourier transform ⋮ On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition ⋮ Well-posedness of the Basset problem in spaces of smooth functions ⋮ Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition ⋮ The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

Cites Work

• Unnamed Item
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• Numerical solution for multi-term fractional (arbitrary) orders differential equations
• Application of He's variational iteration method to Helmholtz equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method for fractional heat- and wave-like equations
• A note on fractional derivatives and fractional powers of operators
• On the numerical solution of fractional hyperbolic partial differential equations
• Variational iteration method for delay differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Variational principles for some nonlinear partial differential equations with variable coefficients
• A note on the difference schemes for hyperbolic equations
• Numerical methods for multi-term fractional (arbitrary) orders differential equations
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• Analytical approach to linear fractional partial differential equations arising in fluid mechanics
• Numerical comparison of methods for solving linear differential equations of fractional order
• Numerical methods for nonlinear partial differential equations of fractional order
• FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE
• Fractional Derivatives and Special Functions
• Variational Theory for Linear Magneto-Electro-Elasticity
• Inversion theorems for poterntial-type integral transforms in a and ons^n-1
• Variational iteration method for autonomous ordinary differential systems

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