Iterative Methods; Simple-Root of Nonlinear Equations; Newton’s Method - Articles

Calculation of the Approximate Energy of Ground and Excited Stationary States in Quantum Mechanics Using Delta Method (Articles)

Farrin Payandeh, Touraj Mohammadpour

Journal of Applied Mathematics and Physics Vol.4 No.1, January 27, 2016

DOI: 10.4236/jamp.2016.41016 4,141 Downloads 6,144 Views Citations
The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test (Articles)

Angel Muelas, Eduardo Salete, Juan José Benito, Francisco Ureña, Luis Gavete, Miguel Ureña

Journal of Geoscience and Environment Protection Vol.7 No.4, April 10, 2019

DOI: 10.4236/gep.2019.74001 804 Downloads 2,380 Views Citations
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 8,029 Downloads 16,397 Views Citations
Existence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation (Articles)

Zhihao Ge

Advances in Pure Mathematics Vol.3 No.1, January 21, 2013

DOI: 10.4236/apm.2013.31004 5,059 Downloads 8,188 Views Citations
Solution of a Two-Degree-of-Freedom Nonlinear Coupled Vibration System Based on the Multiple Scales Method (Articles)

Minghuan Liu

Journal of Applied Mathematics and Physics Vol.14 No.1, January 22, 2026

DOI: 10.4236/jamp.2026.141015 77 Downloads 396 Views Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18, December 12, 2016

DOI: 10.4236/am.2016.718182 6,623 Downloads 8,782 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Weak Galerkin Finite Element Method for the Unsteady Stokes Equation (Articles)

Chen Ning, Haiming Gu

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

DOI: 10.4236/ajcm.2018.81009 1,527 Downloads 3,343 Views Citations
Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4, April 27, 2022

DOI: 10.4236/am.2022.134023 492 Downloads 2,591 Views Citations
Derivation of the Reduction Formula of Sixth Order and Seven Stages Runge-Kutta Method for the Solution of an Ordinary Differential Equation (Articles)

Georgios D. Trikkaliotis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.13 No.4, April 27, 2022

DOI: 10.4236/am.2022.134024 514 Downloads 4,252 Views Citations
Adomian Modification Methods for the Solution of Chebyshev’s Differential Equations (Articles)

Mariam Al Mazmumy, Aishah Alsulami, Huda Bakodah, Nawal Alzaid

Applied Mathematics Vol.14 No.8, August 24, 2023

DOI: 10.4236/am.2023.148032 290 Downloads 1,035 Views Citations
Numerical Simulation of Saint-Venant Equations with Thermal Energy Dependency: Applications on Global Warming (Articles)

Raphael de O. Garcia, Graciele P. Silveira

Open Journal of Fluid Dynamics Vol.13 No.4, September 25, 2023

DOI: 10.4236/ojfd.2023.134014 540 Downloads 1,482 Views Citations
An Analytical Serendipity-Based Technique for Solving the Canonical Riccati Equation (Articles)

Leandro Melendez-Lugo

Journal of High Energy Physics, Gravitation and Cosmology Vol.11 No.3, July 11, 2025

DOI: 10.4236/jhepgc.2025.113055 63 Downloads 391 Views Citations
A General Analytical Solution to the Nonlinear Riccati Differential Equation (Articles)

Leandro Meléndez-Lugo

Journal of High Energy Physics, Gravitation and Cosmology Vol.11 No.4, September 26, 2025

DOI: 10.4236/jhepgc.2025.114080 107 Downloads 472 Views Citations
A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations (Articles)

Gonglin YUAN, Zhongxing WANG, Zengxin WEI

International Journal of Communications, Network and System Sciences Vol.2 No.6, September 22, 2009

DOI: 10.4236/ijcns.2009.26061 5,883 Downloads 10,831 Views Citations
Existence Solution for 5th Order Differential Equations under Some Conditions (Articles)

Sayada Nabhan Odda

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

DOI: 10.4236/am.2010.14035 4,462 Downloads 9,433 Views Citations
Poincaré Problem for Nonlinear Elliptic Equations of Second Order in Unbounded Domains (Articles)

Guochun Wen

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

DOI: 10.4236/apm.2013.31A024 5,097 Downloads 8,152 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
The Solution of Binary Nonlinear Operator Equations with Applications (Articles)

Baomin Qiao

Applied Mathematics Vol.4 No.9, August 30, 2013

DOI: 10.4236/am.2013.49167 4,885 Downloads 7,215 Views Citations
General Boundary Value Problems for Nonlinear Uniformly Elliptic Equations in Multiply Connected Infinite Domains (Articles)

Guochun Wen, Yanhui Zhang, Dechang Chen

International Journal of Modern Nonlinear Theory and Application Vol.2 No.3, August 30, 2013

DOI: 10.4236/ijmnta.2013.23024 3,143 Downloads 5,419 Views Citations
Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains (Articles)

Guochun Wen, Dechang Chen

Applied Mathematics Vol.4 No.12, December 3, 2013

DOI: 10.4236/am.2013.412225 3,511 Downloads 5,675 Views Citations
Parametric Dirac Delta to Simplify the Solution of Linear and Nonlinear Problems with an Impulsive Forcing Function (Articles)

Enrique J. Chicurel-Uziel, Francisco A. Godínez-Rojano

Journal of Applied Mathematics and Physics Vol.1 No.7, December 17, 2013

DOI: 10.4236/jamp.2013.17003 5,239 Downloads 8,653 Views Citations

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