Soil and topographic effects on ground motion of a surficially inhomogeneous semi-cylindrical canyon under oblique incident SH waves

N Zhang, Y Gao, RYS Pak - Soil Dynamics and Earthquake Engineering, 2017 - Elsevier
To elucidate the ground motion amplification due to combined soil and topographic effects,
an analytical formulation in the framework of classical elastodynamics is derived for the …

[HTML][HTML] A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

V Srivastava, KN Rai - Mathematical and Computer Modelling, 2010 - Elsevier
In this article, we propose a new mathematical model, namely a multi-term fractional
diffusion equation, for oxygen delivery through a capillary to tissues. Fractional calculus is …

A modified homotopy analysis method for solution of fractional wave equations

XB Yin, S Kumar, D Kumar - Advances in mechanical …, 2015 - journals.sagepub.com
The aim of this article is to introduce a modified analytical approach to obtain quick and
accurate solution of wave-like fractional physical models. This modified analytical approach …

Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

DH Shou, JH He - Physics Letters A, 2008 - Elsevier
Recently Adomian method was used to solve various kinds of heat-like and wave-like
equations. In this Letter, an alternative approach called the variational iteration method is …

[HTML][HTML] Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains

H Ghaneai, MM Hosseini - Computers & Mathematics with Applications, 2015 - Elsevier
The present study is an attempt to obtain solutions of wave-like and heat-like equations with
high-dimensional in large domains through the well-known variational iteration method …

Solution of fractional vibration equation by the variational iteration method and modified decomposition method

S Das - International Journal of Nonlinear Sciences and …, 2008 - degruyter.com
In the present paper, the solutions of the fractional vibration equation for very large
membranes are obtained with the help of two powerful methods, the variational iteration …

The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method

T Allahviranloo, S Abbasbandy, H Rouhparvar - Applied Soft Computing, 2011 - Elsevier
In present paper, the same strategy as Buckley–Feuring by the variational iteration method
are used for find exact fuzzy solution of the fuzzy wave-like equations in one and two …

Solving the fractional heat-like and wave-like equations with variable coefficients utilizing the Laplace homotopy method

M Nadeem, SW Yao - International journal of numerical methods for …, 2021 - emerald.com
Purpose This paper aims to suggest the approximate solution of time fractional heat-like and
wave-like (TFH-L and WL) equations with variable coefficients. The proposed scheme …

He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients

T Öziş, D Ağırseven - Physics Letters A, 2008 - Elsevier
In this Letter, He's homotopy perturbation method is applied to heat-like and wave-like
equations with variable coefficients. The solutions are introduced in this Letter are in …

Homotopy perturbation new integral transform method for numeric study of space-and time-fractional (n+ 1)-dimensional heat-and wave-like equations

BK Singh - Waves, Wavelets and Fractals, 2018 - access.portico.org
This paper deals with implementation of “homotopy perturbation new integral transform
(HPNIT) method" to get an approximate series solution of space-and time fractional (STF)(n+ …