Obstacle Problem; Spline Collocation; Nonsmooth Equation; Generalized Newton Method - Articles

A Look at the Tool of BYRD and NOCEDAL (Articles)

Linghua Huang, Guoyin Li, Gonglin Yuan

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14028 4,588 Downloads 8,602 Views Citations
Tau-Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations (Articles)

James E. Mamadu, Ignatius N. Njoseh

Journal of Applied Mathematics and Physics Vol.4 No.2, February 26, 2016

DOI: 10.4236/jamp.2016.42045 3,569 Downloads 6,950 Views Citations
An O(k²+kh²+h²) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations (Articles)

Ranjan Kumar Mohanty, Vijay Dahiya

American Journal of Computational Mathematics Vol.1 No.1, March 30, 2011

DOI: 10.4236/ajcm.2011.11002 6,793 Downloads 13,697 Views Citations
Cauchy Problem of the Singularly Perturbed Sixth Order Boussinesq Type Equation (Articles)

Hong Li, Changming Song, Li Chen

Journal of Applied Mathematics and Physics Vol.5 No.9, September 15, 2017

DOI: 10.4236/jamp.2017.59137 939 Downloads 1,866 Views Citations
Application of the Generalized Simplest Equation Method to the Burgers Equation (Articles)

Yuexing Bai, Sudao Bilige, Xiaoqing Gao, Jianqing Lü

Journal of Applied Mathematics and Physics Vol.5 No.1, January 25, 2017

DOI: 10.4236/jamp.2017.51011 1,550 Downloads 2,864 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 4,182 Downloads 7,304 Views Citations
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 1,173 Downloads 2,545 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 230 Downloads 977 Views Citations
Research on the Proximal Gradient Method for Composite Optimization Problems under Generalized Smoothness Assumptions (Articles)

Lin Yang, Na Xian

Journal of Applied Mathematics and Physics Vol.14 No.4, April 23, 2026

DOI: 10.4236/jamp.2026.144076 33 Downloads 203 Views Citations
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle (Articles)

Seyed Mohammadali Ali. Raeisian

American Journal of Computational Mathematics Vol.2 No.4, December 20, 2012

DOI: 10.4236/ajcm.2012.24038 4,898 Downloads 8,268 Views Citations
An Extended Numerical Method by Stancu Polynomials for Solution of Integro-Differential Equations Arising in Oscillating Magnetic Fields (Articles)

Neşe İşler Acar

Advances in Pure Mathematics Vol.14 No.10, October 31, 2024

DOI: 10.4236/apm.2024.1410043 164 Downloads 592 Views Citations
Septic B-Spline Collocation Method for the Numerical Solution of the Modified Equal Width Wave Equation (Articles)

Turabi Geyikli, Seydi Battal Gazi Karakoc

Applied Mathematics Vol.2 No.6, June 22, 2011

DOI: 10.4236/am.2011.26098 6,138 Downloads 13,149 Views Citations
Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs (Articles)

Quan Zheng, Xiuhui Guo, Fengxi Huang

Open Journal of Applied Sciences Vol.2 No.4B, January 14, 2013

DOI: 10.4236/ojapps.2012.24B017 3,994 Downloads 6,045 Views Citations
Steffensen-Type Method of Super Third-Order Convergence for Solving Nonlinear Equations (Articles)

Zhongli Liu, Hong Zhang

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27064 5,339 Downloads 7,457 Views Citations
Generalized Abel Inversion Using Homotopy Perturbation Method (Articles)

Sunil Kumar, Om P. Singh, Sandeep Dixit

Applied Mathematics Vol.2 No.2, February 25, 2011

DOI: 10.4236/am.2011.22029 7,188 Downloads 13,589 Views Citations
Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators (Articles)

Youhua Qian, Dongxu Ren, Shengmin Chen, Lin Ping

Modern Mechanical Engineering Vol.2 No.4, November 30, 2012

DOI: 10.4236/mme.2012.24022 4,518 Downloads 8,919 Views Citations
Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation (Articles)

Dalal A. Maturi

Applied Mathematics Vol.3 No.12, December 21, 2012

DOI: 10.4236/am.2012.312273 6,136 Downloads 10,387 Views Citations
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method (Articles)

Yuhuai Sun, Hanlei Hu, Jian Zhang

Open Journal of Applied Sciences Vol.4 No.5, April 17, 2014

DOI: 10.4236/ojapps.2014.45025 3,899 Downloads 6,217 Views Citations
Exact Solutions to the Generalized Benjamin Equation (Articles)

Hua Gao, Genhu Di

Journal of Applied Mathematics and Physics Vol.2 No.7, June 20, 2014

DOI: 10.4236/jamp.2014.27074 3,278 Downloads 5,359 Views Citations
Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments (Articles)

Maria B. Pintarelli

Journal of Applied Mathematics and Physics Vol.8 No.8, August 25, 2020

DOI: 10.4236/jamp.2020.88123 754 Downloads 1,694 Views Citations

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