Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

The Advection Wave-in-Secondary Saturation Movement Equation and Its Application to Concentration Tension-Driven Saturation Kinetic Flow (Articles)

Tafireyi Nemaura

Journal of Applied Mathematics and Physics Vol.4 No.12, December 6, 2016

DOI: 10.4236/jamp.2016.412210 1,183 Downloads 2,215 Views Citations
The Utilization of the Generating Function Technique in the Discovery of Solutions for the Three-Dimensional Navier-Stokes Equation System (Articles)

Robert Lloyd Jackson

Open Journal of Fluid Dynamics Vol.12 No.1, March 16, 2022

DOI: 10.4236/ojfd.2022.121005 283 Downloads 1,192 Views Citations
A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method (Articles)

Maha S. M. Shehata

American Journal of Computational Mathematics Vol.5 No.2, June 26, 2015

DOI: 10.4236/ajcm.2015.52016 5,981 Downloads 8,439 Views Citations
Numerical Treatment of Initial-Boundary Value Problems with Mixed Boundary Conditions (Articles)

Nawal Abdullah Alzaid, Huda Omar Bakodah

American Journal of Computational Mathematics Vol.8 No.2, June 28, 2018

DOI: 10.4236/ajcm.2018.82012 1,685 Downloads 4,002 Views Citations
Finite Element Orthogonal Collocation Approach for Time Fractional Telegraph Equation with Mamadu-Njoseh Polynomials (Articles)

Ebimene James Mamadu, Henrietta Ify Ojarikre, Edith Omamuyovwi Maduku

Journal of Applied Mathematics and Physics Vol.11 No.9, September 18, 2023

DOI: 10.4236/jamp.2023.119168 212 Downloads 940 Views Citations
Multi-Derivative Multistep Method for Initial Value Problems Using Boundary Value Technique (Articles)

Emmanuel A. Areo, Oluwatoyin A. Edwin

Open Access Library Journal Vol.7 No.3, March 19, 2020

DOI: 10.4236/oalib.1106063 607 Downloads 2,512 Views Citations
Java Simulation of Au Diffusion in Si Affected by Vacancies and Self-Interstitials: Partial Differential Equations (Articles)

Masami Morooka

Journal of Software Engineering and Applications Vol.5 No.10, October 31, 2012

DOI: 10.4236/jsea.2012.510089 4,103 Downloads 6,282 Views Citations
A Conceptual Numerical Model of the Wave Equation Using the Complex Variable Boundary Element Method (Articles)

Bryce D. Wilkins, Theodore V. Hromadka, Randy Boucher

Applied Mathematics Vol.8 No.5, May 27, 2017

DOI: 10.4236/am.2017.85057 1,846 Downloads 3,393 Views Citations
This article belongs to the Special Issue on Numerical and Mathematical Modeling of Flow and Transport
An Unsteady Two-Dimensional Complex Variable Boundary Element Method (Articles)

Bryce D. Wilkins, Joshua Greenberg, Brittany Redmond, Alan Baily, Nicholas Flowerday, Adam Kratch, Theodore V. Hromadka, Randy Boucher, Howard D. McInvale, Steve Horton

Applied Mathematics Vol.8 No.6, June 30, 2017

DOI: 10.4236/am.2017.86069 7,467 Downloads 8,946 Views Citations
Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations (Articles)

Gerald W. Buetow, James Sochacki

Journal of Mathematical Finance Vol.9 No.4, October 25, 2019

DOI: 10.4236/jmf.2019.94031 1,233 Downloads 3,435 Views Citations
This article belongs to the Special Issue on Actuarial Science and Finance
Numerical Solutions of the Black-Scholes Financial Model Using the Adomian Decomposition and Power Series Collocation Methods (Articles)

Johnson Oladele Fatokun, Olabisi Akinwale, Shehu Abdulaziz

Journal of Applied Mathematics and Physics Vol.13 No.4, April 24, 2025

DOI: 10.4236/jamp.2025.134074 57 Downloads 486 Views Citations
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation (Articles)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

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

DOI: 10.4236/ajcm.2013.33026 7,788 Downloads 14,144 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4, April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,739 Downloads 4,373 Views Citations
Exact Travelling Wave Solutions of Two Nonlinear Schrödinger Equations by Using Two Methods (Articles)

Qingmei Zhang, Mei Xiong, Longwei Chen

Journal of Applied Mathematics and Physics Vol.7 No.12, December 18, 2019

DOI: 10.4236/jamp.2019.712218 939 Downloads 2,148 Views Citations
This article belongs to the Special Issue on Ordinary Differential Equations and Its Applications
Application of OHAM-DJ to the System of Burgers’ Equations (Articles)

Fatheah Ahmad Alhendi, Bothayna Saleh Kashkari, Aisha Abdullah Alderremy

American Journal of Computational Mathematics Vol.6 No.3, August 11, 2016

DOI: 10.4236/ajcm.2016.63022 2,922 Downloads 6,226 Views Citations
Artificial Neural Networks Approach for Solving Stokes Problem (Articles)

Modjtaba Baymani, Asghar Kerayechian, Sohrab Effati

Applied Mathematics Vol.1 No.4, October 29, 2010

DOI: 10.4236/am.2010.14037 6,672 Downloads 12,843 Views Citations
Similarity Reduction of Nonlinear Partial Differential Equations (Articles)

Amnah S. Al-Johani

Journal of Applied Mathematics and Physics Vol.2 No.3, February 11, 2014

DOI: 10.4236/jamp.2014.23003 4,418 Downloads 8,044 Views Citations
On a Class of Gronwall-Bellman Type Inequalities (Articles)

Zareen A. Khan

Advances in Pure Mathematics Vol.4 No.6, June 25, 2014

DOI: 10.4236/apm.2014.46038 5,153 Downloads 6,999 Views Citations
Real-Time Modelling of Dynamic Behaviour for Clinker Rotary Kilns: Learning from Experiment and Theory (Articles)

Tarasiewicz Stanislaw, Yoboué Guillaume N’zi

Advances in Pure Mathematics Vol.4 No.10, October 30, 2014

DOI: 10.4236/apm.2014.410064 3,749 Downloads 4,952 Views Citations
This article belongs to the Special Issue on Partial Differential Equation
Integral Inequalities of Gronwall-Bellman Type (Articles)

Zareen A. Khan

Applied Mathematics Vol.5 No.21, December 15, 2014

DOI: 10.4236/am.2014.521326 6,935 Downloads 8,897 Views Citations

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