A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator

DOI10.1007/s40819-021-01182-4OpenAlexW3215315379MaRDI QIDQ2114510

Amit Prakash, Manish Goyal, Shivangi Gupta

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01182-4

zbMATH Keywords

fractional differential equations (FDE)Caputo-Fabrizio operator\(q\)-homotopy analysis transform technique (\(q\)-HATT)dependent Rosenau-Hyman (RH) equationLaplace transform (LT)

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (1)

Numerical simulation of SIR childhood diseases model with fractional Adams–Bashforth method

Cites Work

• Unnamed Item
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• A new tool to study real dynamics: the convergence plane
• Duplication in a model of rock fracture with fractional derivative without singular kernel
• A tutorial review on fractal spacetime and fractional calculus
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Generalized Taylor's formula
• A repository of equations with cosine/sine compactons
• Symmetries of a class of nonlinear third-order partial differential equations
• On the homotopy analysis method for nonlinear problems.
• Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
• A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
• Numerical solution for fractional model of Fokker-Planck equation by using q-HATM
• A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
• An algorithm for solving the fractional vibration equation
• Solving the fractional Rosenau-Hyman equation via variational iteration method and homotopy perturbation method
• A reliable solution of arbitrary order nonlinear Hunter-Saxton equation with time dependent derivative in Liouville-Caputo sense
• An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense
• New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function
• Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation
• A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
• Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
• Modeling electro-magneto-hydrodynamic thermo-fluidic transport of biofluids with new trend of fractional derivative without singular kernel
• New perspective on the conventional solutions of the nonlinear time-fractional partial differential equations
• An efficient analytical technique for fractional model of vibration equation
• On the new fractional derivative and application to nonlinear Baggs and Freedman model
• Convergence and Applications of Newton-type Iterations
• Compactons: Solitons with finite wavelength
• Investigating new positive, bounded, and convergent numerical solution for the nonlinear time‐dependent breast cancer dynamic competition model
• Traveling wave solutions of nonlinear partial differential equations

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