Reaction-Diffusion; Block Marching; Differential Quadrature; Perturbation - Articles

Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform (Articles)

Hradyesh Kumar Mishra, Sonali Saini

American Journal of Computational Mathematics Vol.3 No.1, March 26, 2013

DOI: 10.4236/ajcm.2013.31001 6,411 Downloads 12,331 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3, May 8, 2013

DOI: 10.4236/apm.2013.33045 5,702 Downloads 11,467 Views Citations
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods (Articles)

Amnah S. Al-Johani

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33027 3,461 Downloads 5,984 Views Citations
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method (Articles)

Devaraj Shanthi, Vembu Ananthaswamy, Lakshmanan Rajendran

Natural Science Vol.5 No.9, September 2, 2013

DOI: 10.4236/ns.2013.59128 4,926 Downloads 8,334 Views Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4, April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,956 Downloads 4,336 Views Citations
A Comparison between the Reduced Differential Transform Method and Perturbation-Iteration Algorithm for Solving Two-Dimensional Unsteady Incompressible Navier-Stokes Equations (Articles)

Abdul-Sattar J. Al-Saif, Assma J. Harfash

Journal of Applied Mathematics and Physics Vol.6 No.12, December 12, 2018

DOI: 10.4236/jamp.2018.612211 1,437 Downloads 3,210 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11, November 13, 2020

DOI: 10.4236/am.2020.1111074 2,312 Downloads 10,313 Views Citations
Free-Form Laminated Doubly-Curved Shells and Panels of Revolution Resting on Winkler-Pasternak Elastic Foundations: A 2-D GDQ Solution for Static and Free Vibration Analysis (Articles)

Francesco Tornabene, Alessandro Ceruti

World Journal of Mechanics Vol.3 No.1, February 7, 2013

DOI: 10.4236/wjm.2013.31001 9,398 Downloads 15,289 Views Citations
An Accurate Five Off-Step Points Implicit Block Method for Direct Solution of Fourth Order Differential Equations (Articles)

Monday Kolawole Duromola

Open Access Library Journal Vol.3 No.6, June 23, 2016

DOI: 10.4236/oalib.1102667 1,264 Downloads 2,885 Views Citations
Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions (Articles)

Eli A. Vazquez, Joaquin Collado

Applied Mathematics Vol.9 No.11, November 30, 2018

DOI: 10.4236/am.2018.911086 989 Downloads 2,525 Views Citations
Application of variational iteration method and electron transfer mediator/catalyst composites in modified electrodes (Articles)

Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.2 No.6, July 1, 2010

DOI: 10.4236/ns.2010.26076 4,971 Downloads 9,585 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 6,866 Downloads 13,823 Views Citations
Pattern Formation in Tri-Trophic Ratio-Dependent Food Chain Model (Articles)

Dawit Melese, Sunita Gakkhar

Applied Mathematics Vol.2 No.12, December 27, 2011

DOI: 10.4236/am.2011.212213 4,669 Downloads 8,846 Views Citations
Analytical Expressions of Concentrations inside the Cationic Glucose-Sensitive Membrane (Articles)

Swaminathan Sevukaperumal, Shunmugham Loghambal, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34058 4,217 Downloads 7,450 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 7,379 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 5,450 Downloads 8,264 Views Citations
Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model (Articles)

Mayakkannan Sivasankari, Lakshmanan Rajendran

Applied Mathematics Vol.4 No.2, February 27, 2013

DOI: 10.4236/am.2013.42048 4,291 Downloads 7,296 Views Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics (Articles)

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4, April 19, 2013

DOI: 10.4236/ns.2013.54061 4,377 Downloads 7,285 Views Citations
Computational Studies of Bacterial Colony Model (Articles)

Ondřej Pártl

American Journal of Computational Mathematics Vol.3 No.2, June 25, 2013

DOI: 10.4236/ajcm.2013.32023 3,503 Downloads 6,458 Views Citations
Traveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays (Articles)

Xinli Han, Lijun Pan

Applied Mathematics Vol.4 No.9, August 30, 2013

DOI: 10.4236/am.2013.49172 4,838 Downloads 6,961 Views Citations

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