Bratu-Type Problem; Variational Iteration Method; Homotopy Perturbation Method; New Improved Variational Homotopy Perturbation Method; Boundary Value Problems; Initial Value Problems - Articles

New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems (Articles)

Olusola Ezekiel Abolarin

American Journal of Computational Mathematics Vol.3 No.2，June 24, 2013

DOI: 10.4236/ajcm.2013.32018 4,553 Downloads 7,809 Views Citations
Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen (Articles)

Chinnasamy Thangapandi, Lakshmanan Rajendran

Natural Science Vol.5 No.3，March 26, 2013

DOI: 10.4236/ns.2013.53045 3,773 Downloads 6,005 Views Citations
Analytical expressions of the concentrations of substrate and product in enzyme inhibition process (Articles)

Sankaranarayanan Muthukumar, Lakshmanan Rajendran

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

DOI: 10.4236/ns.2013.59129 3,277 Downloads 5,308 Views Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems (Articles)

Bothayna S. Kashkari, Sharefah Saleh

Applied Mathematics Vol.8 No.7，July 4, 2017

DOI: 10.4236/am.2017.87070 1,287 Downloads 2,481 Views Citations
Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations (Articles)

Tunde A. Adeosun, Olugbenga J. Fenuga, Samuel O. Adelana, Abosede M. John, Ogunjimi Olalekan, Kazeem B. Alao

Applied Mathematics Vol.4 No.10，October 4, 2013

DOI: 10.4236/am.2013.410190 5,096 Downloads 7,818 Views Citations
Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems (Articles)

Sara Ghaderi

Applied Mathematics Vol.3 No.5，May 16, 2012

DOI: 10.4236/am.2012.35062 6,313 Downloads 9,913 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 1,669 Downloads 3,331 Views Citations
Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems (Articles)

Vembu Ananthaswamy, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39154 5,160 Downloads 9,067 Views Citations
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 2,137 Downloads 4,412 Views Citations
Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation (Articles)

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

Applied Mathematics Vol.6 No.4，April 17, 2015

DOI: 10.4236/am.2015.64062 3,566 Downloads 4,795 Views Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10，October 12, 2012

DOI: 10.4236/am.2012.310174 6,980 Downloads 12,783 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4，December 9, 2011

DOI: 10.4236/ajcm.2011.14024 5,832 Downloads 11,000 Views Citations
Application of He’s Variational Iterative Method for Solving Thin Film Flow Problem Arising in Non-Newtonian Fluid Mechanics (Articles)

Abdul M. Siddiqui, Ali A. Farooq, Tahira Haroon, Muhammad A. Rana, Bruce S. Babcock

World Journal of Mechanics Vol.2 No.3，June 20, 2012

DOI: 10.4236/wjm.2012.23016 4,977 Downloads 8,568 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 3,886 Downloads 6,516 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 681 Downloads 1,786 Views Citations
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method (Articles)

Mohamed Abdalla Darwish, Bothayna S. Kashkari

American Journal of Computational Mathematics Vol.4 No.2，March 20, 2014

DOI: 10.4236/ajcm.2014.42005 4,247 Downloads 6,484 Views Citations
Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate (Articles)

Rana H. Ali, Kais I. Ibraheem

Open Access Library Journal Vol.7 No.10，October 15, 2020

DOI: 10.4236/oalib.1106803 215 Downloads 866 Views Citations
A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs (Articles)

Khadijah M. Abualnaja

Applied Mathematics Vol.6 No.4，April 29, 2015

DOI: 10.4236/am.2015.64067 2,989 Downloads 4,083 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 846 Downloads 1,547 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 5,524 Downloads 9,380 Views Citations

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