Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

Virtual Element Discretization of Optimal Control Problem Governed by Brinkman Equations (Articles)

Yanwei Li

Engineering Vol.15 No.2, February 24, 2023

DOI: 10.4236/eng.2023.152010 235 Downloads 913 Views Citations
A Numerical Study of Several Species Population Models (Articles)

Francisco J. Sánchez-Bernabe, Maria del Rosario Escalona-Magdaleno

Journal of Applied Mathematics and Physics Vol.11 No.12, December 26, 2023

DOI: 10.4236/jamp.2023.1112251 168 Downloads 540 Views Citations
AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method (Articles)

Isaac Azure, Japheth Kodua Wiredu, Anas Musah, Eric Akolgo

American Journal of Computational Mathematics Vol.13 No.4, December 28, 2023

DOI: 10.4236/ajcm.2023.134036 657 Downloads 1,640 Views Citations
A Modified Lagrange Method for Solving Convex Quadratic Optimization Problems (Articles)

Twum B. Stephen, Avoka John, Christian J. Etwire

Open Journal of Optimization Vol.13 No.1, March 18, 2024

DOI: 10.4236/ojop.2024.131001 185 Downloads 1,252 Views Citations
Existence of a Sigh-Changing Solution Result for Logarithmic Schrödinger Equations with Weight Function (Articles)

Jingxing Huang, Junhui Xie

Journal of Applied Mathematics and Physics Vol.12 No.7, July 30, 2024

DOI: 10.4236/jamp.2024.127158 154 Downloads 501 Views Citations
Numerical Solution of the Quaternion Quadratic Matrix Equation $X^{2} + B X + C = 0$ (Articles)

Baiquan Hu

Journal of Applied Mathematics and Physics Vol.13 No.11, November 13, 2025

DOI: 10.4236/jamp.2025.1311215 47 Downloads 299 Views Citations
Spectral-Petrov-Galerkin Method for Parabolic Problems Based on Darcy’s Law-Preserving (Articles)

Shuyun Yang, Yaxing Xiao, Yifan Cao, Yonghui Qin

Journal of Applied Mathematics and Physics Vol.14 No.2, February 10, 2026

DOI: 10.4236/jamp.2026.142033 68 Downloads 326 Views Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method (Articles)

Ömür Umut, Serpil Yaşar

International Journal of Modern Nonlinear Theory and Application Vol.8 No.1, February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,903 Downloads 4,395 Views Citations
Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion (Articles)

Ning Ma, Xiaofei Lu

Journal of Applied Mathematics and Physics Vol.3 No.1, January 28, 2015

DOI: 10.4236/jamp.2015.31012 3,679 Downloads 4,614 Views Citations
An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations (Articles)

Ayodele Olakiitan Owolanke, Ohi Uwaheren, Friday Oghenerukevwe Obarhua

Open Access Library Journal Vol.4 No.6, June 19, 2017

DOI: 10.4236/oalib.1103486 2,014 Downloads 4,341 Views Citations
Hybrid Numerical Method with Block Extension for Direct Solution of Third Order Ordinary Differential Equations (Articles)

M. K. Duromola, A. L. Momoh

American Journal of Computational Mathematics Vol.9 No.2, June 12, 2019

DOI: 10.4236/ajcm.2019.92006 1,197 Downloads 3,065 Views Citations
A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows (Articles)

Mohamed El-Gamel, Ola Mohamed, Neveen El-Shamy

Applied Mathematics Vol.11 No.1, January 7, 2020

DOI: 10.4236/am.2020.111003 802 Downloads 1,973 Views Citations
A Proof of the Non-Singularity of the D Matrix Used in Deriving the Two—Step Butcher’s Hybrid Scheme for the Solution of Initial Value Problems (Articles)

R. O. Akinola, K. J. Ajibade

Journal of Applied Mathematics and Physics Vol.9 No.12, December 29, 2021

DOI: 10.4236/jamp.2021.912208 299 Downloads 1,256 Views Citations
Research on Rational Quadratic Residues (Articles)

Zhongqi Zhou

Open Access Library Journal Vol.12 No.6, June 16, 2025

DOI: 10.4236/oalib.1113565 111 Downloads 897 Views Citations
Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary (Articles)

Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan

Advances in Pure Mathematics Vol.1 No.6, November 24, 2011

DOI: 10.4236/apm.2011.16056 4,161 Downloads 8,587 Views Citations
Semi-Commutative Differential Operators Associated with the Dirac Opetator and Darboux Transformation (Articles)

Masatomo Matsushima, Mayumi Ohmiya

Advances in Pure Mathematics Vol.3 No.1A, January 30, 2013

DOI: 10.4236/apm.2013.31A029 4,552 Downloads 7,841 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
On Polynomials R_n(x) Related to the Stirling Numbers and the Bell Polynomials Associated with the p-Adic Integral on $\mathbb{Z}_{p}$ (Articles)

Hui Young Lee, Cheon Seoung Ryoo

Open Journal of Discrete Mathematics Vol.6 No.2, April 8, 2016

DOI: 10.4236/ojdm.2016.62009 2,799 Downloads 4,271 Views Citations
The Mathematical Foundations of General Relativity Revisited (Articles)

Jean-Francois Pommaret

Journal of Modern Physics Vol.4 No.8A, September 6, 2013

DOI: 10.4236/jmp.2013.48A022 6,741 Downloads 10,059 Views Citations
This article belongs to the Special Issue on Gravitation, Astrophysics and Cosmology
Why Gravitational Waves Cannot Exist (Articles)

J.-F. Pommaret

Journal of Modern Physics Vol.8 No.13, December 8, 2017

DOI: 10.4236/jmp.2017.813130 2,956 Downloads 5,070 Views Citations
This article belongs to the Special Issue on Gravitation, Astrophysics and Cosmology
On the Zeros of Daubechies Orthogonal and Biorthogonal Wavelets (Articles)

Jalal Karam

Applied Mathematics Vol.3 No.7, June 19, 2012

DOI: 10.4236/am.2012.37116 5,921 Downloads 9,332 Views Citations

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