Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

Numerical Solution of Nonlinear Integro-Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative (Articles)

Behrooz Basirat, Mohammad Amin Shahdadi

International Journal of Modern Nonlinear Theory and Application Vol.2 No.2, June 20, 2013

DOI: 10.4236/ijmnta.2013.22018 6,255 Downloads 15,636 Views Citations
Boundedness and Oscillation of Third Order Neutral Differential Equations with Deviating Arguments (Articles)

Elmetwally M. Elabbasy, Magdy Y. Barsoum, Osama Moaaz

Journal of Applied Mathematics and Physics Vol.3 No.11, November 19, 2015

DOI: 10.4236/jamp.2015.311164 3,269 Downloads 4,717 Views Citations
Oscillation Properties of Third Order Neutral Delay Differential Equations (Articles)

Elmetwally M. Elabbasy, Osama Moaaz, Ebtesam Sh. Almehabresh

Applied Mathematics Vol.7 No.15, September 21, 2016

DOI: 10.4236/am.2016.715149 2,114 Downloads 3,756 Views Citations
Stochastic Modelling on Dynamics of Portfolio Diversifications among the Fixed and Operational Investments through Internal Bivariate Linear Birth, Death and Migration Processes (Articles)

Tirupathi Rao Padi, Chiranjeevi Gudala

Applied Mathematics Vol.8 No.8, August 31, 2017

DOI: 10.4236/am.2017.88091 987 Downloads 2,079 Views Citations
An Approximate Time-Parallel Method for the Fast and Accurate Computation of Particle Trajectories in a Magnetic Field* (Articles)

Carl Lederman, David Bilyeu

Journal of Applied Mathematics and Physics Vol.6 No.3, March 19, 2018

DOI: 10.4236/jamp.2018.63046 808 Downloads 1,924 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Application
Applications of Fractional Calculus to Newtonian Mechanics (Articles)

Gabriele U. Varieschi

Journal of Applied Mathematics and Physics Vol.6 No.6, June 21, 2018

DOI: 10.4236/jamp.2018.66105 2,463 Downloads 7,593 Views Citations
The Application of Linear Ordinary Differential Equations (Articles)

Haoyang Cui

Applied Mathematics Vol.11 No.12, December 21, 2020

DOI: 10.4236/am.2020.1112088 1,418 Downloads 10,026 Views Citations
This article belongs to the Special Issue on Mathematical Physics
A Tutorial on Common Differential Equations and Solutions Useful for Modeling Epidemics Like COVID-19: Linear and Non-Linear Compartmentation Models (Articles)

Robert V. Mulkern, Reyhaneh Nosrati

Journal of Applied Mathematics and Physics Vol.10 No.10, October 24, 2022

DOI: 10.4236/jamp.2022.1010204 272 Downloads 1,524 Views Citations
Analytical Proof of the Solution to Second Order Linear Homogeneous Differential Equation (Articles)

Godwin Eni Inah

Open Access Library Journal Vol.10 No.1, January 16, 2023

DOI: 10.4236/oalib.1109537 136 Downloads 1,900 Views Citations
A Filtered Milne-Simpson ODE Method with Enhanced Stability Properties (Articles)

Ari Aluthge, Scott A. Sarra

Journal of Applied Mathematics and Physics Vol.11 No.1, January 31, 2023

DOI: 10.4236/jamp.2023.111013 234 Downloads 2,319 Views Citations
Bifurcation Analysis of a Nonlinear Genetic Network Model with Time Delay (Articles)

Anael Verdugo

Journal of Applied Mathematics and Physics Vol.11 No.8, August 18, 2023

DOI: 10.4236/jamp.2023.118146 215 Downloads 830 Views Citations
Business Ecosystems and Differential Equations: Computer Simulations of Competition and Competitiveness Scenarios (Articles)

Júlia A. Kudo, Raphael de O. Garcia, Graciele P. Silveira

Open Journal of Business and Management Vol.13 No.1, January 31, 2025

DOI: 10.4236/ojbm.2025.131036 176 Downloads 765 Views Citations
Business Cycles Explained by Instability (Articles)

Galiya Klinkova, Michael Grabinski

Theoretical Economics Letters Vol.15 No.6, December 3, 2025

DOI: 10.4236/tel.2025.156079 63 Downloads 388 Views Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11, November 5, 2013

DOI: 10.4236/am.2013.411202 4,140 Downloads 7,211 Views Citations
Simulation of Seawater Intrusion in Coastal Confined Aquifer Using a Point Collocation Method Based Meshfree Model (Articles)

Alice Thomas, T. I. Eldho, A. K. Rastogi

Journal of Water Resource and Protection Vol.8 No.4, April 29, 2016

DOI: 10.4236/jwarp.2016.84045 2,601 Downloads 4,608 Views Citations
This article belongs to the Special Issue on Research on Groundwater
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4, December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,139 Downloads 2,476 Views Citations
Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems (Articles)

James Adewale, Adesanya Olaide, Onsachi Oziohu, Sunday Joshua, Moses Omuya

American Journal of Computational Mathematics Vol.8 No.1, March 28, 2018

DOI: 10.4236/ajcm.2018.81008 901 Downloads 2,153 Views Citations
Quasi-Exactly Solvable Differential Models: A Canonical Polynomials Approach (Articles)

Mohamad K. El-Daou, Talal H. AlZanki, Nadia S. Al-Mutawa

American Journal of Computational Mathematics Vol.9 No.2, May 30, 2019

DOI: 10.4236/ajcm.2019.92004 825 Downloads 1,826 Views Citations
Application of the Economization of Power Series to Solving the Schrödinger Equation for the Gaussian Potential via the Asymptotic Iteration Method (Articles)

Hippolyte Nyengeri, Benoit Manariyo, Rénovat Nizigiyimana, Salomon Mugisha

Open Access Library Journal Vol.7 No.7, July 23, 2020

DOI: 10.4236/oalib.1106505 1,293 Downloads 2,334 Views Citations
Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs (Articles)

Zhongli Liu, Guoqing Sun

Journal of Applied Mathematics and Physics Vol.4 No.11, November 18, 2016

DOI: 10.4236/jamp.2016.411203 1,985 Downloads 3,609 Views Citations

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