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Solving large deformation problems in geotechnical and geo-environmental engineering with the smoothed particle hydrodynamics: a state-of-the-art review of …
Coupled fluid–solid phase continuum problems associated with large deformation as
geotechnics experts encounter in slope stability problems have been extensively reviewed …
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
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 …
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
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 …
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …
[HTML][HTML] New computational results for a prototype of an excitable system
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 …
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 …
(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
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 …
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
The present research paper highlights the effect of multiple slips and inclined magnetic
fields on chemically reacting Casson-Williamson with Buongiorno modeled nanofluid flow …
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
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 …
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
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 …
used semi-analytical techniques for approximating nonlinear differential equations. The …
Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system
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 …
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …