[PDF][PDF] Advanced local fractional calculus and its applications
XJ Yang - 2012 - researchgate.net
This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …
presents a thorough introduction to the recent results of local fractional calculus. It is also …
Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer
V Marinca, N Herişanu - International communications in heat and mass …, 2008 - Elsevier
We consider one of the newest analytical methods, the Optimal Homotopy Asymptotic
Method (OHAM), to solve nonlinear equations arising in heat transfer. Two specific …
Method (OHAM), to solve nonlinear equations arising in heat transfer. Two specific …
[HTML][HTML] Solution of fractional bioheat equations by finite difference method and HPM
In this paper, we present a mathematical model of space–time fractional bioheat equation
governing the process of heat transfer in tissues during thermal therapy. Using fractional …
governing the process of heat transfer in tissues during thermal therapy. Using fractional …
Application of Euler neural networks with soft computing paradigm to solve nonlinear problems arising in heat transfer
In this study, a novel application of neurocomputing technique is presented for solving
nonlinear heat transfer and natural convection porous fin problems arising in almost all …
nonlinear heat transfer and natural convection porous fin problems arising in almost all …
[图书][B] Nonlinear dynamical systems in engineering: Some approximate approaches
V Marinca, N Herisanu - 2012 - books.google.com
This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …
nonlinearities encountered by engineering systems. A better knowledge of the classical …
Numerical inverse Laplace homotopy technique for fractional heat equations
In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …
Solutions of a class of singular second-order IVPs by homotopy-perturbation method
MSH Chowdhury, I Hashim - Physics Letters A, 2007 - Elsevier
In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order
ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are …
ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are …
Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating
MM Rashidi, E Erfani - Engineering Computations, 2012 - emerald.com
Purpose–The purpose of this paper is to consider the thermal‐diffusion and diffusion‐thermo
effects on combined heat and mass transfer of a steady magnetohydrodynamic (MHD) …
effects on combined heat and mass transfer of a steady magnetohydrodynamic (MHD) …
Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations
M Sajid, T Hayat - Nonlinear Analysis: Real World Applications, 2008 - Elsevier
Recently, Rajabi et al.(Application of homotopy perturbation method in nonlinear heat
conduction and convection equations, Phys. Lett. A 360 (2007) 570–573.) discussed the …
conduction and convection equations, Phys. Lett. A 360 (2007) 570–573.) discussed the …
Application of variational iteration method and homotopy–perturbation method for nonlinear heat diffusion and heat transfer equations
Perturbation methods depend on a small parameter which is difficult to be found for real-life
nonlinear problems. To overcome this shortcoming, two new but powerful analytical …
nonlinear problems. To overcome this shortcoming, two new but powerful analytical …