Solving large deformation problems in geotechnical and geo-environmental engineering with the smoothed particle hydrodynamics: a state-of-the-art review of …

KC Onyelowe, F Fazel Mojtahedi… - Environmental Earth …, 2023 - Springer
Coupled fluid–solid phase continuum problems associated with large deformation as
geotechnics experts encounter in slope stability problems have been extensively reviewed …

[HTML][HTML] A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations

H Ahmad, TA Khan, I Ahmad, PS Stanimirović, YM Chu - Results in Physics, 2020 - Elsevier
This work aims to propose a new analyzing tool, called the fractional iteration algorithm I for
finding numerical solutions of nonlinear time fractional-order Cauchy reaction-diffusion …

New perspective on the conventional solutions of the nonlinear time‐fractional partial differential equations

H Ahmad, A Akgül, TA Khan, PS Stanimirović… - …, 2020 - Wiley Online Library
The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

[HTML][HTML] New computational results for a prototype of an excitable system

H Ahmad, MN Alam, M Omri - Results in Physics, 2021 - Elsevier
This present paper uses a well known computational scheme such as the modified (G'/G)-
expansion method to the nonlinear predator–prey (NPP) system for forming new …

[HTML][HTML] Exact travelling wave solution for the local fractional Camassa-Holm-Kadomtsev-Petviashvili equation

KL Wang - Alexandria Engineering Journal, 2023 - Elsevier
In this work, the local fractional Camassa-Holm-Kadomtsev–Petviashvili equation
(LFCHKPE) is defined on Cantor sets by using the local fractional derivative for the first time …

Modified Variational Iteration Algorithm‐II: Convergence and Applications to Diffusion Models

H Ahmad, TA Khan, PS Stanimirović, YM Chu… - …, 2020 - Wiley Online Library
Variational iteration method has been extensively employed to deal with linear and
nonlinear differential equations of integer and fractional order. The key property of the …

Dynamics of multiple slip boundaries effect on MHD Casson-Williamson double-diffusive nanofluid flow past an inclined magnetic stretching sheet

PP Humane, VS Patil, AB Patil… - Proceedings of the …, 2022 - journals.sagepub.com
The present research paper highlights the effect of multiple slips and inclined magnetic
fields on chemically reacting Casson-Williamson with Buongiorno modeled nanofluid flow …

[HTML][HTML] Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G, 1/G)-expansion and (1/G′)-expansion techniques

A Yokus, H Durur, H Ahmad, P Thounthong, YF Zhang - Results in Physics, 2020 - Elsevier
In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …

Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier

S Tomar, M Singh, K Vajravelu, H Ramos - Mathematics and Computers in …, 2023 - Elsevier
The variational iteration method (VIM) has been in the last two decades, one of the most
used semi-analytical techniques for approximating nonlinear differential equations. The …

Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system

A Yokus, H Durur, H Ahmad - Facta Universitatis, Series …, 2020 - casopisi.junis.ni.ac.rs
Abstract In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …