Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13, July 10, 2014

DOI: 10.4236/am.2014.513186 4,980 Downloads 7,645 Views Citations
A Characteristics-Mix Stabilized Finite Element Method for Variable Density Incompressible Navier-Stokes Equations (Articles)

Fei Xiong, Liquan Mei, Ying Li, Wu Zhang

Advances in Pure Mathematics Vol.5 No.5, April 13, 2015

DOI: 10.4236/apm.2015.55026 3,369 Downloads 4,720 Views Citations
Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation (Articles)

Ning Chen, Haiming Gu

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

DOI: 10.4236/ajcm.2015.53025 5,307 Downloads 6,604 Views Citations
Computer Simulation of Transition Regimes of Solitons in Stimulated Raman Scattering with Excitation of Polar Optical Phonons (Articles)

Galyna Feshchenko, Vladimir Feshchenko

American Journal of Computational Mathematics Vol.5 No.3, September 11, 2015

DOI: 10.4236/ajcm.2015.53031 4,383 Downloads 5,423 Views Citations
A New Newton-Type Method with Third-Order for Solving Systems of Nonlinear Equations (Articles)

Zhongli Liu, Quanyou Fang

Journal of Applied Mathematics and Physics Vol.3 No.10, October 28, 2015

DOI: 10.4236/jamp.2015.310154 2,484 Downloads 4,185 Views Citations
Numerical Simulation for Nonlinear Water Waves Propagating along the Free Surface (Articles)

Rabab Fadhel Al-Bar

Journal of Applied Mathematics and Physics Vol.4 No.5, May 30, 2016

DOI: 10.4236/jamp.2016.45102 1,947 Downloads 3,199 Views Citations
New Asymptotical Stability and Uniformly Asymptotical Stability Theorems for Nonautonomous Difference Equations (Articles)

Limin Zhang, Chaofeng Zhang

Applied Mathematics Vol.7 No.10, June 7, 2016

DOI: 10.4236/am.2016.710089 2,565 Downloads 3,872 Views Citations
On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method (Articles)

Zhimin Hong, Xiangzhong Fang, Zaizai Yan, Hui Hao

Journal of Applied Mathematics and Physics Vol.4 No.7, July 25, 2016

DOI: 10.4236/jamp.2016.47140 1,746 Downloads 3,471 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 2,579 Downloads 6,066 Views Citations
Numerical Solution of Klein/Sine-Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets (Articles)

Javid Iqbal, Rustam Abass

Applied Mathematics Vol.7 No.17, November 15, 2016

DOI: 10.4236/am.2016.717167 2,032 Downloads 3,907 Views Citations
Application of the Hierarchical Functions Expansion Method for the Solution of the Two Dimensional Navier-Stokes Equations for Compressible Fluids in High Velocity (Articles)

Thadeu das Neves Conti, Eduardo Lobo Lustosa Cabral, Gaianê Sabundjian

Energy and Power Engineering Vol.9 No.2, February 17, 2017

DOI: 10.4236/epe.2017.92007 2,062 Downloads 3,465 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 1,274 Downloads 2,774 Views Citations
Exact Solutions to the Boussinesq-Burgers Equations (Articles)

Xiangzheng Li, Baoan Li, Jinlan Chen, Mingliang Wang

Journal of Applied Mathematics and Physics Vol.5 No.9, September 18, 2017

DOI: 10.4236/jamp.2017.59145 1,121 Downloads 2,328 Views Citations
Numerical Simulation of Foaming Processes (Articles)

Katharina Gladbach, Antonio Delgado, Cornelia Rauh

World Journal of Mechanics Vol.7 No.11, November 29, 2017

DOI: 10.4236/wjm.2017.711024 1,090 Downloads 2,488 Views Citations
Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain (Articles)

Maria B. Pintarelli

Applied Mathematics Vol.9 No.3, March 26, 2018

DOI: 10.4236/am.2018.93017 722 Downloads 1,593 Views Citations
Modeling of the Leaf Area of Maytenus obtusifolia Mart. from Scanned Images (Articles)

Vinicius de Souza Oliveira, Karina Tiemi Hassuda dos Santos, Ana Paula Braido Pinheiro, Gleyce Pereira Santos, Jéssica Sayuri Hassuda Santos, Hérica Chisté, Omar Schmildt, Sara Dousseau Arantes, Marcio Paulo Czepak, Adriano Alves Fernandes, Edilson Romais Schmildt

Agricultural Sciences Vol.10 No.6, June 28, 2019

DOI: 10.4236/as.2019.106061 715 Downloads 1,624 Views Citations
Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation (Articles)

Longmin Dong, Zhu Guo, Yinghui He

Journal of Applied Mathematics and Physics Vol.8 No.9, September 18, 2020

DOI: 10.4236/jamp.2020.89139 605 Downloads 1,929 Views Citations
Sixth Order Finite Difference Method for Three Coupled Nonlinear Schrödinger Equations (Articles)

Khadijah Alamoudi, Mohmmad Said Hammoudeh

Advances in Pure Mathematics Vol.11 No.4, April 15, 2021

DOI: 10.4236/apm.2021.114017 489 Downloads 1,490 Views Citations
A Family of the Global Attractor for Higher Order Nonlinear Kirchhoff Equation (Articles)

Guoguang Lin, Yingguo Wang

Open Journal of Applied Sciences Vol.11 No.6, June 30, 2021

DOI: 10.4236/ojapps.2021.116055 324 Downloads 1,036 Views Citations
Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping (Articles)

Tongxin Wang, Ziwen Jiang, Zhe Yin

American Journal of Computational Mathematics Vol.11 No.3, September 28, 2021

DOI: 10.4236/ajcm.2021.113014 339 Downloads 1,464 Views Citations

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