New class of solutions for water infiltration problems in unsaturated soils

Omidvar, Mehdi; Barari, Amin; Momeni, M.; Ganji, D.D.

doi:10.1080/17486020903294333

Cited by 37 publications

(29 citation statements)

References 39 publications

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“…In recent years, some promising approximate analytical solutions have been proposed, such as Frequency Amplitude Formulation [13], Variational Iteration [5,6,14,17], Homotopy-Perturbation [3,4,7,24], Parametrized-Perturbation [18], Max-Min [15,19,29], Differential Transform Method [16], Adomian Decomposition Method [22], Energy Balance [23,30], etc.…”

Section: Introductionmentioning

confidence: 99%

Non-linear vibration of Euler-Bernoulli beams

Barari

Kaliji

Ghadimi

et al. 2011

Lat. Am. j. solids struct.

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Section: Introductionmentioning

confidence: 99%

Non-linear vibration of Euler-Bernoulli beams

Barari

Kaliji

Ghadimi

et al. 2011

Lat. Am. j. solids struct.

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“…The Brooks-Corey model is the more commonly used model among them [4]. In this section, we define the problem to be solved by introducing the Brooks-Corey model.…”

Section: Model Definitionmentioning

confidence: 99%

“…In these years, much research such as Adomian decomposition method (ADM) [2], traveling wave method (TWM) [3], differential transform method (DTM) [4], homotopy perturbation method (HPM) [4], extend Heaslet & Alksne technique and so on [5], has been done to derive the exact solution, which has a wide theoretical and practical applicability. …”

Section: Ss Ds Txxmentioning

confidence: 99%

Approximate analytical solution for one-dimensional Richards' equation

Zhang¹,

Chen²,

Luo³

2016

Proceedings of the 2016 5th International Conference on Civil, Architectural and Hydraulic Engineering (ICCAHE 2016)

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“…Nowadays, many approaches, for instance, Heaslet & Alksne technique [2] , series expansion method [3] and traveling wave method [4] are used to obtain the analytical solution of flow equation (1). Inverse method and semi-inverse method [5] are applied for some linear stress equation (2).…”

Section: Introductionmentioning

confidence: 99%

Analysis of Coupled Gas Flow and Solid Deformation in Porous Media

Su¹,

Mi²,

Chen³

2017

Proceedings of the 2017 2nd International Symposium on Advances in Electrical, Electronics and Computer Engineering (ISAEECE 20

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Abstract. The coupled problem between gas flow and solid deformation in porous media analysis has important influence in contaminant transport and gas outbursts during coal mining. In this paper, it is presented an analytical method to solve coupled nonlinear models of stress and gas seepage, which consider the Klinkenberg effects as gas penetrating into porous medium. The method is based on integrating the stress model and changed the coupled equations into an nonlinear ordinary differential equation by Boltzmann variable, then an approximation is constructed for simulation. At last, an illustration is given to confirm the accuracy of present solution.

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New class of solutions for water infiltration problems in unsaturated soils

Cited by 37 publications

References 39 publications

Non-linear vibration of Euler-Bernoulli beams

Non-linear vibration of Euler-Bernoulli beams

Approximate analytical solution for one-dimensional Richards' equation

Analysis of Coupled Gas Flow and Solid Deformation in Porous Media

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