Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media

A Golbabai, O Nikan, T Nikazad - International Journal of Applied and …, 2019 - Springer
Evolution equations containing fractional derivatives can offer efficient mathematical models
for determination of anomalous diffusion and transport dynamics in multi-faceted systems …

Generalized Lie symmetry approach for fractional order systems of differential equations. III

K Singla, RK Gupta - Journal of Mathematical Physics, 2017 - pubs.aip.org
The generalized Lie symmetry technique is proposed for the derivation of point symmetries
for systems of fractional differential equations with an arbitrary number of independent as …

New iterative method: a review

VD Gejji, M Kumar - Frontiers in fractional calculus, 2018 - benthamdirect.com
New Iterative Method: A Review Page 1 Current Developments in Mathematical Sciences,
2018, Vol. 1, 233-268 233 Sachin Bhalekar (Ed.) All rights reserved-© 2018 Bentham Science …

[PDF][PDF] New method for solving a class of fractional partial differential equations with applications

H Jafari, H Tajadodi - Thermal Science, 2018 - doiserbia.nb.rs
In this work we suggest a numerical approach based on the B-spline polynomial to obtain
the solution of linear fractional partial differential equations. We find the operational matrix …

[PDF][PDF] A new numerical method based on Daftardar-Gejji and Jafari technique for solving differential equations

J Patade, S Bhalekar - World J. Model. Simul, 2015 - researchgate.net
In the present work we introduce a new numerical method (NNM) for solving differential
equations. We apply Daftardar-Gejji and Jafari technique on implicit trapezium formula to …

Theoretical Investigation on the Conservation Principles of an Extended Davey–Stewartson System with Riesz Space Fractional Derivatives of Different Orders

CA Molina-Holguín, E Urenda-Cázares… - Fractal and …, 2024 - mdpi.com
In this article, a generalized form of the Davey–Stewartson system, consisting of three
nonlinear coupled partial differential equations, will be studied. The system considers the …

Extended Legendre Wavelet Method for Solving Fractional Order Time Hyperbolic Partial Differential Equation

S Gupta, B Thakur - International Journal of Applied and Computational …, 2023 - Springer
An efficient numerical technique is developed for solving fractional order time hyperbolic
partial differential equations by using the extended Legendre wavelet method. The fractional …

Manipulation of light in a generalized coupled nonlinear Schrödinger equation

R Radha, PS Vinayagam, K Porsezian - Communications in Nonlinear …, 2016 - Elsevier
We investigate a generalized coupled nonlinear Schrodinger (GCNLS) equation containing
Self-Phase Modulation (SPM), Cross-Phase Modulation (XPM) and Four Wave Mixing …

[PDF][PDF] New numerical methods for solving differential equations

OY Ababneh - J. Adv. Math, 2019 - core.ac.uk
In this paper, we present new numerical methods to solve ordinary differential equations in
both linear and nonlinear cases. we apply Daftardar-Gejji technique on theta-method to …