Homotopy Methods - Articles - Scientific Research Publishing

Analytical Expression for the Concentration of Substrate and Product in Immobilized Enzyme System in Biofuel/Biosensor (Articles)

R. Malini Devi, O. M. Kirthiga, L. Rajendran

Applied Mathematics Vol.6 No.7, June 23, 2015

DOI: 10.4236/am.2015.67105 3,488 Downloads 5,103 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method (Articles)

Kunjan Shah, Twinkle Singh

Journal of Geoscience and Environment Protection Vol.3 No.4, June 26, 2015

DOI: 10.4236/gep.2015.34004 3,960 Downloads 5,704 Views Citations
Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method (Articles)

Azhar Ali, H. Zaman, M. Z. Abidin, S. I. A. Shah

American Journal of Computational Mathematics Vol.5 No.2, June 30, 2015

DOI: 10.4236/ajcm.2015.52019 4,249 Downloads 6,291 Views Citations
A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations (Articles)

Majeed A. Yousif, Bewar A. Mahmood, Fadhil H. Easif

American Journal of Computational Mathematics Vol.5 No.3, August 31, 2015

DOI: 10.4236/ajcm.2015.53024 4,888 Downloads 6,545 Views Citations
The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology (Articles)

Kunjan Shah, Twinkle Singh

Open Journal of Applied Sciences Vol.5 No.11, November 19, 2015

DOI: 10.4236/ojapps.2015.511068 3,930 Downloads 5,388 Views Citations
Magnetohydrodynamic Flow of Viscous Fluid over a Non-Linearly Stretching Sheet (Articles)

Yohannes Yirga, Daniel Tesfay

Open Access Library Journal Vol.1 No.7, October 31, 2014

DOI: 10.4236/oalib.1101030 1,489 Downloads 2,979 Views Citations
A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method (Articles)

Amir Sadeghi

Advances in Linear Algebra & Matrix Theory Vol.6 No.2, May 26, 2016

DOI: 10.4236/alamt.2016.62004 3,482 Downloads 5,883 Views Citations
Theoretical Analysis of Immobilized Oxidase Enzyme Electrode in the Presence of Two Oxidants (Articles)

Malinidevi Ramanathan, Rajendran Lakshmanan

American Journal of Analytical Chemistry Vol.7 No.10, October 13, 2016

DOI: 10.4236/ajac.2016.710062 1,686 Downloads 2,780 Views Citations
This article belongs to the Special Issue on Analysis of Volatiles
Numerical Solutions of Three-Dimensional Coupled Burgers’ Equations by Using Some Numerical Methods (Articles)

Fatheah Ahmad Alhendi, Aisha Abdullah Alderremy

Journal of Applied Mathematics and Physics Vol.4 No.11, November 14, 2016

DOI: 10.4236/jamp.2016.411201 2,605 Downloads 6,154 Views Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

Applied Mathematics Vol.8 No.2, February 28, 2017

DOI: 10.4236/am.2017.82017 6,730 Downloads 8,661 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 1,985 Downloads 4,417 Views Citations
Reliable Method for Steady-State Concentrations and Current over the Diagnostic Biosensor Transducers (Articles)

Kurunatha Perumal Thevar Preethi, Velmurgan Meena, Rajaram Poovazhaki

American Journal of Analytical Chemistry Vol.8 No.7, July 12, 2017

DOI: 10.4236/ajac.2017.87036 1,291 Downloads 2,828 Views Citations
A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry-Dym (HD) Equation (Articles)

Emran Khoshrouye Ghiasi, Reza Saleh

Applied Mathematics Vol.8 No.11, November 13, 2017

DOI: 10.4236/am.2017.811113 1,810 Downloads 4,183 Views Citations
A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method (Articles)

Shams A. Ahmed

Applied Mathematics Vol.9 No.3, March 19, 2018

DOI: 10.4236/am.2018.93014 1,148 Downloads 2,420 Views Citations
On the Analysis of Variable Thermophysical Properties of Thermophoretic Viscoelastic Fluid Flow past a Vertical Surface with n^th Order of Chemical Reaction (Articles)

Olubode Kolade Koriko, Tosin Oreyeni, Onyekachukwu Anselm Oyem

Open Access Library Journal Vol.5 No.6, June 8, 2018

DOI: 10.4236/oalib.1104271 604 Downloads 1,691 Views Citations
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities (Articles)

Waleed Al-Hayani, Rasha Fahad

Applied Mathematics Vol.10 No.6, June 17, 2019

DOI: 10.4236/am.2019.106030 1,072 Downloads 3,743 Views Citations
Optimal Homotopy Analysis of MHD Natural Convection Flow of Thixotropic Fluid under Subjection of Thermal Stratification: Boundary Layer Analysis (Articles)

T. Oreyeni, E. Omokhuale

American Journal of Computational Mathematics Vol.9 No.2, June 26, 2019

DOI: 10.4236/ajcm.2019.92009 995 Downloads 2,101 Views Citations
Analytical Algorithm for Systems of Neutral Delay Differential Equations (Articles)

Aminu Barde, Normah Maan

Applied Mathematics Vol.10 No.9, September 25, 2019

DOI: 10.4236/am.2019.109054 889 Downloads 2,435 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 2,342 Downloads 10,430 Views Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two (Articles)

Zainidin Eshkuvatov, Davron Khayrullaev, Muzaffar Nurillaev, Shalela Mohd Mahali, Anvar Narzullaev

Journal of Applied Mathematics and Physics Vol.11 No.1, January 17, 2023

DOI: 10.4236/jamp.2023.111005 268 Downloads 1,047 Views Citations

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