Solution of fractional partial differential equations in fluid mechanics by extension of some iterative method

DOI10.1155/2013/717540zbMath1470.65175OpenAlexW2048910924WikidataQ58916731 ScholiaQ58916731MaRDI QIDQ2319014

A. A. Hemeda

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/717540

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (7)

Iterative methods for solving the fractional form of unsteady axisymmetric squeezing fluid flow with slip and no-slip boundaries ⋮ Unnamed Item ⋮ A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations ⋮ Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations ⋮ Pure traveling wave solutions for three nonlinear fractional models ⋮ Fractional Hermite interpolation using RBFs in high dimensions over irregular domains with application ⋮ Solving random fractional second-order linear equations via the mean square Laplace transform: theory and statistical computing

Cites Work

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• New iterative method: an application for solving fractional physical differential equations
• Variational iteration method for solving non-linear partial differential equations
• Application of He's variational iteration method to Helmholtz equation
• An iterative method for solving nonlinear functional equations
• Variational iteration method: New development and applications
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• Variational iteration method -- some recent results and new interpretations
• Comparison between Adomian's method and He's homotopy perturbation method
• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
• Variational principles for some nonlinear partial differential equations with variable coefficients
• Formulation and solution of \(n\)th-order derivative fuzzy integrodifferential equation using new iterative method with a reliable algorithm
• An approximate solution for a fractional diffusion-wave equation using the decomposition method
• Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Asymptotic methods for solitary solutions and compactons
• Homotopy perturbation technique
• New iterative method: Application to partial differential equations
• The fundamental solution of the space-time fractional advection-dispersion equation
• Variational iteration method for solving wave equation
• Analytic and approximate solutions of the space- and time-fractional telegraph equations
• An explicit and numerical solutions of the fractional KdV equation
• Convergence of Adomian's Method
• Solving evolution equations using a new iterative method
• The fundamental solution of the space-time fractional diffusion equation
• Multidimensional solutions of time-fractional diffusion-wave equations
• The time fractional diffusion equation and the advection-dispersion equation

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