Crank-Nicolson - Articles - Scientific Research Publishing

Exponential B-Spline Solution of Convection-Diffusion Equations (Articles)

Reza Mohammadi

Applied Mathematics Vol.4 No.6, June 17, 2013

DOI: 10.4236/am.2013.46129 7,196 Downloads 11,483 Views Citations
Finite Difference Implicit Schemes to Coupled Two-Dimension Reaction Diffusion System (Articles)

Shahid Hasnain, Muhammad Saqib, Nawaf Al-Harbi

Journal of Applied Mathematics and Physics Vol.6 No.4, April 20, 2018

DOI: 10.4236/jamp.2018.64066 1,176 Downloads 3,265 Views Citations
Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation (Articles)

Hycienth O. Orapine, Emem Ayankop-Andi, Godwin J. Ibeh

Applied Mathematics Vol.11 No.7, July 9, 2020

DOI: 10.4236/am.2020.117037 946 Downloads 3,079 Views Citations
A Note on Crank-Nicolson Scheme for Burgers’ Equation (Articles)

Kanti Pandey, Lajja Verma

Applied Mathematics Vol.2 No.7, July 15, 2011

DOI: 10.4236/am.2011.27118 10,197 Downloads 20,553 Views Citations
A Two-Dimensional Mathematical Model to Analyze Thermal Variations in Skin and Subcutaneous Tissue Region of Human Limb during Surgical Wound Healing (Articles)

Namrata Gupta, Madhvi Shakya

Applied Mathematics Vol.7 No.2, February 5, 2016

DOI: 10.4236/am.2016.72014 5,484 Downloads 6,887 Views Citations
This article belongs to the Special Issue on Mathematical and Computational Methods in Medicine
Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes (Articles)

Shahid Hasnain, Muhammad Saqib

American Journal of Computational Mathematics Vol.7 No.1, March 31, 2017

DOI: 10.4236/ajcm.2017.71006 3,257 Downloads 6,919 Views Citations
Two-Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme (Articles)

Shahid Hasnain, Muhammad Saqib, Daoud Suleiman Mashat

American Journal of Computational Mathematics Vol.7 No.2, June 23, 2017

DOI: 10.4236/ajcm.2017.72017 2,073 Downloads 6,188 Views Citations
Numerical Study of Fisher’s Equation by Finite Difference Schemes (Articles)

Bader Saad Alshammari, Daoud Suleiman Mashat

Applied Mathematics Vol.8 No.8, August 18, 2017

DOI: 10.4236/am.2017.88083 7,684 Downloads 11,928 Views Citations
Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System (Articles)

Shahid Hasnain, Daoud Suleiman Mashat, Muhammad Saqib, Shafeek A. Ghaleb, Noorah Y. Mshary

Journal of Applied Mathematics and Physics Vol.5 No.8, August 28, 2017

DOI: 10.4236/jamp.2017.58129 1,180 Downloads 2,595 Views Citations
Lumped Mass Finite Element Method of the Nonlinear BBM Equation (Articles)

Hongying Si

Open Journal of Applied Sciences Vol.11 No.9, September 23, 2021

DOI: 10.4236/ojapps.2021.119075 367 Downloads 1,201 Views Citations
Crank-Nicolson Quasi-Compact Scheme for the Nonlinear Two-Sided Spatial Fractional Advection-Diffusion Equations (Articles)

Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li

Journal of Applied Mathematics and Physics Vol.12 No.4, April 19, 2024

DOI: 10.4236/jamp.2024.124068 203 Downloads 745 Views Citations
Crank-Nicolson Finite Difference Scheme for the 3D Allen-Cahn Equation with PINN Comparison (Articles)

Bo Liu, Lijuan Wang

Applied Mathematics Vol.16 No.10, October 31, 2025

DOI: 10.4236/am.2025.1610038 65 Downloads 580 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 104 Downloads 399 Views Citations
Break Up of N-Soliton Bound State in a Gradient Refractive Index Waveguide with Nonlocal Nonlinearity (Articles)

Isnani Darti, Suhariningsih Suhariningsih, Marjono Marjono, Agus Suryanto

Optics and Photonics Journal Vol.2 No.3, September 20, 2012

DOI: 10.4236/opj.2012.23027 3,459 Downloads 6,085 Views Citations
Numerical Investigation of Unsteady Free Convection on a Vertical Cylinder with Variable Heat and Mass Flux in the Presence of Chemically Reactive Species (Articles)

A. M. Kawala, S. N. Odda

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

DOI: 10.4236/apm.2013.31A026 5,365 Downloads 10,054 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables (Articles)

Pavlos Stampolidis, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.9 No.11, November 13, 2018

DOI: 10.4236/am.2018.911079 2,481 Downloads 5,572 Views Citations
Travelling Waves: Interplay of Low to High Reynolds Number and Tan-Cot Function Method to Solve Burger’s Equations (Articles)

Md. Kamrujjaman, Asif Ahmed, Jahrul Alam

Journal of Applied Mathematics and Physics Vol.7 No.4, April 19, 2019

DOI: 10.4236/jamp.2019.74058 869 Downloads 1,961 Views Citations
Introducing the Power Series Method to Numerically Approximate Contingent Claim Partial Differential Equations (Articles)

Gerald W. Buetow, James Sochacki

Journal of Mathematical Finance Vol.9 No.4, October 25, 2019

DOI: 10.4236/jmf.2019.94031 1,275 Downloads 3,539 Views Citations
This article belongs to the Special Issue on Actuarial Science and Finance
Review on the Current Stochastic Numerical Methods for Econometric Analysis (Articles)

Lewis N. K. Mambo, Rostin M. M. Mabela, Jean-Pièrre B. Bosonga, Eugène M. Mbuyi

American Journal of Computational Mathematics Vol.9 No.4, December 26, 2019

DOI: 10.4236/ajcm.2019.94024 735 Downloads 1,984 Views Citations
Random Crank-Nicolson Scheme for Random Heat Equation in Mean Square Sense (Articles)

M. T. Yassen, M. A. Sohaly, Islam Elbaz

American Journal of Computational Mathematics Vol.6 No.2, June 3, 2016

DOI: 10.4236/ajcm.2016.62008 2,654 Downloads 4,938 Views Citations

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