Finite Element Method; Pennes Bio-Heat Equation; Dermal Parts - Articles

An Innovative Solutions for the Generalized FitzHugh-Nagumo Equation by Using the Generalized (G'/G)-Expansion Method (Articles)

Sayed Kahlil Elagan, Mohamed Sayed, Yaser Salah Hamed

Applied Mathematics Vol.2 No.4, March 31, 2011

DOI: 10.4236/am.2011.24060 5,802 Downloads 11,173 Views Citations
An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes (Articles)

Ali Pirkhedri, Parisa Daneshjoo, Hamid Haj Seyyed Javadi, Hamid Navidi, Salem Khodamoradi, Kamal Ghaderi

International Journal of Astronomy and Astrophysics Vol.1 No.2, June 30, 2011

DOI: 10.4236/ijaa.2011.12010 5,236 Downloads 11,321 Views Citations
A two-parameter mathematical model for immobilizedenzymes and Homotopy analysis method (Articles)

Rathinasamy Angel Joy, Athimoolam Meena, Shunmugham Loghambal, Lakshmanan Rajendran

Natural Science Vol.3 No.7, July 29, 2011

DOI: 10.4236/ns.2011.37078 6,868 Downloads 13,831 Views Citations
Mathematical model for steady state current at ppo-modified micro-cylinder biosensors (Articles)

K. Venugopal, A. Eswari, L. Rajendran

Journal of Biomedical Science and Engineering Vol.4 No.9, September 30, 2011

DOI: 10.4236/jbise.2011.49079 4,505 Downloads 8,391 Views Citations
Optimal Trajectory of Underwater Manipulator Using Adjoint Variable Method for Reducing Drag (Articles)

Kazunori Shinohara

Open Journal of Discrete Mathematics Vol.1 No.3, October 17, 2011

DOI: 10.4236/ojdm.2011.13018 4,706 Downloads 10,058 Views Citations
Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation (Articles)

Chunhuan Xiang

Applied Mathematics Vol.2 No.11, November 30, 2011

DOI: 10.4236/am.2011.211183 6,387 Downloads 11,700 Views Citations
Wronskian and Grammian Solutions for Generalized (n + 1)-Dimensional KP Equation with Variable Coefficients (Articles)

Hongwei Fu, Yang Song, Juan Xu

Applied Mathematics Vol.3 No.2, February 23, 2012

DOI: 10.4236/am.2012.32024 4,838 Downloads 8,375 Views Citations
Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States (Articles)

Sameer M. Ikhdair

Journal of Modern Physics Vol.3 No.2, February 29, 2012

DOI: 10.4236/jmp.2012.32023 7,871 Downloads 17,817 Views Citations
Novel Superpotentials for Supersymmetric Quantum Mechanics: A New Mathematical Investigation and Study (Articles)

Alireza Heidari, Seyedali Vedad, Mohammadali Ghorbani

Journal of Modern Physics Vol.3 No.4, April 27, 2012

DOI: 10.4236/jmp.2012.34043 7,036 Downloads 12,746 Views Citations
New Explicit Solutions of the Generalized (2 + 1)-Dimensional Zakharov-Kuznetsov Equation (Articles)

Gang-Wei Wang, Xi-Qiang Liu, Ying-Yuan Zhang

Applied Mathematics Vol.3 No.6, June 21, 2012

DOI: 10.4236/am.2012.36079 5,590 Downloads 9,225 Views Citations
On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation (Articles)

Jafar Saberi-Nadjafi, Reza Buzhabadi, Hassan Saberi Nik

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38129 6,012 Downloads 10,577 Views Citations
Operator Equation and Application of Variation Iterative Method (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38127 5,359 Downloads 8,442 Views Citations
Propagation of Electrostatic Waves in an Ultra-Relativistic Dense Dusty Electron-Positron-Ion Plasma (Articles)

N. Roy, M. S. Zobaer, A. A. Mamun

Journal of Modern Physics Vol.3 No.8, August 14, 2012

DOI: 10.4236/jmp.2012.38111 4,460 Downloads 7,801 Views Citations
Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method (Articles)

Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran

American Journal of Analytical Chemistry Vol.3 No.8, August 27, 2012

DOI: 10.4236/ajac.2012.38066 3,953 Downloads 7,385 Views Citations
Approximate analytical solution of non-linear reaction diffusion equation in fluidized bed biofilm reactor (Articles)

Seetharaman Usha, Shanmugarajan Anitha, Lakshmanan Rajendran

Natural Science Vol.4 No.12, December 13, 2012

DOI: 10.4236/ns.2012.412127 5,451 Downloads 8,274 Views Citations
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.12, December 17, 2012

DOI: 10.4236/am.2012.312263 8,369 Downloads 11,734 Views Citations
Some Approximation in Cone Metric Space and Variational Iterative Method (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.12, December 26, 2012

DOI: 10.4236/am.2012.312276 7,729 Downloads 10,435 Views Citations
Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation (Articles)

Zhenhui Xu, Hanlin Chen

Open Journal of Applied Sciences Vol.2 No.4B, January 16, 2013

DOI: 10.4236/ojapps.2012.24B049 4,132 Downloads 6,105 Views Citations
Relativistic Schrödinger Wave Equation for Hydrogen Atom Using Factorization Method (Articles)

Mohammad Reza Pahlavani, Hossein Rahbar, Mohsen Ghezelbash

Open Journal of Microphysics Vol.3 No.1, February 27, 2013

DOI: 10.4236/ojm.2013.31001 8,080 Downloads 13,827 Views Citations
Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations (Articles)

Huda O. Bakodah

American Journal of Computational Mathematics Vol.3 No.1, March 27, 2013

DOI: 10.4236/ajcm.2013.31008 5,031 Downloads 9,240 Views Citations

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