Singular Perturbation; Linear System; Difference Scheme; Uniform Convergence; Error Estimates - Articles

Error Estimates for the Difference Method to System of Ordinary Differential Equations with Boundary Layer (Articles)

Ilhame Amirali

Journal of Applied Mathematics and Physics Vol.1 No.5, November 12, 2013

DOI: 10.4236/jamp.2013.15012 3,299 Downloads 5,840 Views Citations
Uniform Difference Scheme on the Singularly Perturbed System (Articles)

Ilhame G. Amiraliyeva

Applied Mathematics Vol.3 No.9, September 27, 2012

DOI: 10.4236/am.2012.39152 3,747 Downloads 6,635 Views Citations
Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection-Diffusion Equations (Articles)

Mohammad Ghorbanzadeh, Asghar Kerayechian

Applied Mathematics Vol.2 No.7, July 12, 2011

DOI: 10.4236/am.2011.27116 5,303 Downloads 10,012 Views Citations
A Numerical Method for Nonlinear Singularly Perturbed Multi-Point Boundary Value Problem (Articles)

Musa Çakır, Derya Arslan

Journal of Applied Mathematics and Physics Vol.4 No.6, June 29, 2016

DOI: 10.4236/jamp.2016.46119 2,398 Downloads 4,166 Views Citations
Numerical Solution of Advection Diffusion Equation Using Semi-Discretization Scheme (Articles)

Khandoker Nasrin Ismet Ara, Md. Masudur Rahaman, Md. Sabbir Alam

Applied Mathematics Vol.12 No.12, December 30, 2021

DOI: 10.4236/am.2021.1212079 753 Downloads 5,212 Views Citations
An Efficient Explicit Scheme for Solving the 2D Heat Equation with Stability and Convergence Analysis (Articles)

Md Nazmul Haque, Ruma Akter, Md Shahadat Hossain Mojumder

Journal of Applied Mathematics and Physics Vol.13 No.7, July 11, 2025

DOI: 10.4236/jamp.2025.137127 246 Downloads 2,656 Views Citations
Higher Order Approximation of Advection Diffusion Equation by Semi-Discretization Method (Articles)

Khandoker Nasrin Ismet Ara, Md. Sabbir Alam, Laek Sazzad Andallah

American Journal of Computational Mathematics Vol.15 No.3, July 30, 2025

DOI: 10.4236/ajcm.2025.153013 124 Downloads 604 Views Citations
Optimal Convergence Analysis for Convection Dominated Diffusion Problems (Articles)

M. A. Mohamed Ali

Journal of Applied Mathematics and Physics Vol.1 No.3, September 20, 2013

DOI: 10.4236/jamp.2013.13004 4,548 Downloads 7,072 Views Citations
An Asymptotic-Fitted Method for Solving Singularly Perturbed Delay Differential Equations (Articles)

Awoke Andargie, Yanala Narsimha Reddy

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38132 6,233 Downloads 10,729 Views Citations
A New Second Order Numerical Scheme for Solving Forward Backward Stochastic Differential Equations with Jumps (Articles)

Hongqiang Zhou, Yang Li, Zhe Wang

Applied Mathematics Vol.7 No.12, July 29, 2016

DOI: 10.4236/am.2016.712121 2,077 Downloads 3,686 Views Citations
Method of Lines for Third Order Partial Differential Equations (Articles)

Mustafa Kudu, Ilhame Amirali

Journal of Applied Mathematics and Physics Vol.2 No.2, January 21, 2014

DOI: 10.4236/jamp.2014.22005 3,927 Downloads 8,280 Views Citations
The uniform convergence of upwind schemes on layer-adapted meshes for a singularly perturbed Robin BVP (Articles)

Quan Zheng, Fengxi Huang, Xiaoli Feng, Mengbin Han

Open Journal of Applied Sciences Vol.2 No.4B, January 11, 2013

DOI: 10.4236/ojapps.2012.24B016 2,334 Downloads 4,294 Views Citations
On The Numerical Solution of Two Dimensional Model of an Alloy Solidification Problem (Articles)

Moeiz Rouis, Khaled Omrani

Modeling and Numerical Simulation of Material Science Vol.6 No.1, January 28, 2016

DOI: 10.4236/mnsms.2016.61001 3,610 Downloads 5,070 Views Citations
On the Conservative Finite Difference Scheme for the Generalized Novikov Equation (Articles)

Wenxia Chen, Qianqian Zhu, Ping Yang

Journal of Applied Mathematics and Physics Vol.5 No.9, September 22, 2017

DOI: 10.4236/jamp.2017.59150 1,142 Downloads 2,337 Views Citations
Finite Element Solution of a Problem for Gravity Gyroscopic Equation in the Time Domain (Articles)

Mikhail Nikolayevich Moskalkov, Dauletbay Utebaev

Applied Mathematics Vol.5 No.8, May 5, 2014

DOI: 10.4236/am.2014.58105 3,765 Downloads 5,445 Views Citations
On the Behavior of the Positive Solutions of the System of Two Higher-Order Rational Difference Equations (Articles)

Qi Wang, Gengrong Zhang, Linlin Fu

Applied Mathematics Vol.4 No.8, August 7, 2013

DOI: 10.4236/am.2013.48164 3,623 Downloads 5,861 Views Citations
Time-Delay Effects on Synchronization of Coupled Slow-Fast Systems (Articles)

Yuanguang Zheng, Jianjian Zeng

Journal of Applied Mathematics and Physics Vol.9 No.4, April 20, 2021

DOI: 10.4236/jamp.2021.94046 507 Downloads 1,641 Views Citations
Nonconforming Mixed Finite Element Method for Nonlinear Hyperbolic Equations (Articles)

Haihong Wang, Cheng Guo

Applied Mathematics Vol.3 No.3, March 27, 2012

DOI: 10.4236/am.2012.33037 6,166 Downloads 9,746 Views Citations
Finite Element Analysis for Singularly Perturbed Advection-Diffusion Robin Boundary Values Problem (Articles)

Songlin Chen, Weigen Hou, Xiaohui Jiang

Advances in Pure Mathematics Vol.3 No.7, October 28, 2013

DOI: 10.4236/apm.2013.37085 3,254 Downloads 5,589 Views Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

Applied Mathematics Vol.8 No.2, February 28, 2017

DOI: 10.4236/am.2017.82017 6,730 Downloads 8,665 Views Citations

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