Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

Trial Equation Method for Solving the Improved Boussinesq Equation (Articles)

Yang Li

Advances in Pure Mathematics Vol.4 No.2, February 28, 2014

DOI: 10.4236/apm.2014.42007 4,877 Downloads 7,514 Views Citations
Classification of All Single Traveling Wave Solutions to (3 + 1)-Dimensional Breaking Soliton Equation (Articles)

Yang Li

Journal of Applied Mathematics and Physics Vol.2 No.4, March 21, 2014

DOI: 10.4236/jamp.2014.24006 3,398 Downloads 5,444 Views Citations
Mean Square Numerical Methods for Initial Value Random Differential Equations (Articles)

Magdy A. El-Tawil, Mohammed A. Sohaly

Open Journal of Discrete Mathematics Vol.1 No.2, July 5, 2011

DOI: 10.4236/ojdm.2011.12009 6,887 Downloads 13,231 Views Citations
Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems (Articles)

Pramod Kumar Pandey

Open Access Library Journal Vol.2 No.9, September 17, 2015

DOI: 10.4236/oalib.1101465 1,372 Downloads 2,912 Views Citations
Lyapunov-Based Stability and Numerical Convergence in a Nonlinear Cardiac Oscillator Model (Articles)

Ifeoma Deborah Omoko, Philip Danso, Clement Tayie, Samuel Mensah, Michael Fosu

Journal of Applied Mathematics and Physics Vol.14 No.1, January 27, 2026

DOI: 10.4236/jamp.2026.141018 48 Downloads 279 Views Citations
The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation (Articles)

Hasibun Naher, Farah Aini Abdullah

Applied Mathematics Vol.3 No.10, October 11, 2012

DOI: 10.4236/am.2012.310168 57,739 Downloads 144,449 Views Citations
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations (Articles)

Amjed Zraiqat, Laith K. Al-Hwawcha

Applied Mathematics Vol.6 No.6, June 2, 2015

DOI: 10.4236/am.2015.66087 5,885 Downloads 10,583 Views Citations
Application of q-Calculus to the Solution of Partial q-Differential Equations (Articles)

Maliki Olaniyi Sadik, Bassey Okpo Orie

Applied Mathematics Vol.12 No.8, August 13, 2021

DOI: 10.4236/am.2021.128047 679 Downloads 3,222 Views Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation (Articles)

Hasib Uddin Molla, Mushfika Hossain Nova

American Journal of Computational Mathematics Vol.8 No.2, June 13, 2018

DOI: 10.4236/ajcm.2018.82010 1,343 Downloads 3,292 Views Citations
Loose Waves in Viscoelastic Cylindrical Wave Guide with Radial Crack (Articles)

Ismail Ibragimovich Safarov, Maqsud Sharipovich Akhmedov, Zafar Ihterovich Boltaev

Applied Mathematics Vol.5 No.21, December 25, 2014

DOI: 10.4236/am.2014.521329 3,178 Downloads 4,156 Views Citations
A Thermal-Hydraulic Coolant Channel Module (CCM) for Single- and Two-Phase Flow (Articles)

Alois Hoeld

Applied Mathematics Vol.6 No.12, November 20, 2015

DOI: 10.4236/am.2015.612179 2,044 Downloads 3,493 Views Citations
Random Crank-Nicolson Scheme for Random Heat Equation in Mean Square Sense (Articles)

M. T. Yassen, M. A. Sohaly, Islam Elbaz

American Journal of Computational Mathematics Vol.6 No.2, June 3, 2016

DOI: 10.4236/ajcm.2016.62008 2,643 Downloads 4,889 Views Citations
Two to Six Dimensional Numerical Solutions to the Poisson Eigenvalue Partial Differential Equation Using Generalized Multiquadrics (Articles)

Edward J. Kansa, Pavel Holobvorodko

American Journal of Computational Mathematics Vol.15 No.2, May 19, 2025

DOI: 10.4236/ajcm.2025.152008 97 Downloads 445 Views Citations
Restoration of Multichannel Images by Nonlinear Parabolic Partial Differential Equations (PDEs) and Optimization by Convolutional Neural Networks (CNNs) (Articles)

Konan Hyacinthe Kouassi, Goli Konan Charles Etienne, Diomande Moussa, Asseu Olivier

Open Journal of Applied Sciences Vol.16 No.4, April 30, 2026

DOI: 10.4236/ojapps.2026.164077 11 Downloads 123 Views Citations
Solving Ordinary Differential Equations with Evolutionary Algorithms (Articles)

Bakre Omolara Fatimah, Wusu Ashiribo Senapon, Akanbi Moses Adebowale

Open Journal of Optimization Vol.4 No.3, September 4, 2015

DOI: 10.4236/ojop.2015.43009 4,500 Downloads 7,018 Views Citations
An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations (Articles)

Sadao Isotani, Walter Maigon Pontuschka, Seiji Isotani

Applied Mathematics Vol.3 No.11, November 7, 2012

DOI: 10.4236/am.2012.311218 8,258 Downloads 14,353 Views Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations (Articles)

Dengfeng Liu, Biao Pan

Journal of Applied Mathematics and Physics Vol.10 No.9, September 30, 2022

DOI: 10.4236/jamp.2022.109188 228 Downloads 1,007 Views Citations
This article belongs to the Special Issue on Ordinary Differential Equations and Its Applications
Numerical Solutions of a Class of Second Order Boundary Value Problems on Using Bernoulli Polynomials (Articles)

Md. Shafiqul Islam, Afroza Shirin

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29147 7,966 Downloads 16,272 Views Citations
Time delay in non-lethal infectious diseases (Articles)

R. De Luca

Natural Science Vol.4 No.8, August 29, 2012

DOI: 10.4236/ns.2012.48075 4,833 Downloads 7,513 Views Citations
The Discrete Agglomeration Model: Equivalent Problems (Articles)

James L. Moseley

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311236 4,343 Downloads 6,963 Views Citations

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