Elliptic Partial Differential Equations - Articles

Hopf Bifurcation of a Gene-Protein Network Module with Reaction Diffusion and Delay Effects (Articles)

Suqi Ma Ma

Int'l J. of Modern Nonlinear Theory and Application Vol.10 No.3，July 14, 2021

DOI: 10.4236/ijmnta.2021.103007 300 Downloads 1,198 Views Citations
The Jaffa Transform for Hessian Matrix Systems and the Laplace Equation (Articles)

Daniel A. Jaffa

Journal of Applied Mathematics and Physics Vol.12 No.1，January 26, 2024

DOI: 10.4236/jamp.2024.121010 158 Downloads 766 Views Citations
A Study on State Constraint Optimal Control Problems (Articles)

Jinghao Zhu

Open Access Library Journal Vol.11 No.9，September 6, 2024

DOI: 10.4236/oalib.1112066 42 Downloads 282 Views Citations
New Exact Solutions for the Coupled Gross-Pitaevskii Equation (Articles)

Can Xu, Jianping Li, Junliang Lu

Applied Mathematics Vol.16 No.4，April 30, 2025

DOI: 10.4236/am.2025.164021 24 Downloads 118 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 9,880 Downloads 19,835 Views Citations
Recent Developments in Option Pricing (Articles)

Hui Gong, You Liang, Aerambamoorthy Thavaneswaran

Journal of Mathematical Finance Vol.1 No.3，November 25, 2011

DOI: 10.4236/jmf.2011.13009 6,764 Downloads 13,815 Views Citations
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations (Articles)

Manoj Kumar, Garima Mishra

Applied Mathematics Vol.2 No.11，November 30, 2011

DOI: 10.4236/am.2011.211186 15,315 Downloads 33,304 Views Citations
Legendre Approximation for Solving Linear HPDEs and Comparison with Taylor and Bernoulli Matrix Methods (Articles)

Emran Tohidi

Applied Mathematics Vol.3 No.5，May 16, 2012

DOI: 10.4236/am.2012.35063 5,803 Downloads 9,985 Views Citations
Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations (Articles)

Victor K. Tolstykh

Engineering Vol.4 No.7，July 3, 2012

DOI: 10.4236/eng.2012.47051 4,775 Downloads 7,278 Views Citations
Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method (Articles)

Sujit Handibag, B. D. Karande

American Journal of Computational Mathematics Vol.3 No.1，March 29, 2013

DOI: 10.4236/ajcm.2013.31013 4,252 Downloads 7,800 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3，May 8, 2013

DOI: 10.4236/apm.2013.33045 5,513 Downloads 10,872 Views Citations
Recent Developments in Fuzzy Sets Approach in Option Pricing (Articles)

Srimantoorao S. Appadoo, Aerambamoorthy Thavaneswaran

Journal of Mathematical Finance Vol.3 No.2，May 24, 2013

DOI: 10.4236/jmf.2013.32031 4,657 Downloads 8,418 Views Citations
Modeling Microbial Decomposition in Real 3D Soil Structures Using Partial Differential Equations (Articles)

Doanh Nguyen-Ngoc, Babacar Leye, Olivier Monga, Patricia Garnier, Naoise Nunan

International Journal of Geosciences Vol.4 No.10A，December 30, 2013

DOI: 10.4236/ijg.2013.410A003 4,018 Downloads 6,419 Views Citations
This article belongs to the Special Issue on Advances in Mathematical and Computational Geosciences
L-Stable Block Hybrid Second Derivative Algorithm for Parabolic Partial Differential Equations (Articles)

Fidele Fouogang Ngwane, Samuel Nemsefor Jator

American Journal of Computational Mathematics Vol.4 No.2，March 25, 2014

DOI: 10.4236/ajcm.2014.42008 2,779 Downloads 4,338 Views Citations
On the Existence and Uniqueness of Solutions for Nonlinear System Modeling Three-Dimensional Viscous Stratified Flows (Articles)

Andrei Giniatoulline, Tovias Castro

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

DOI: 10.4236/jamp.2014.27061 4,064 Downloads 5,465 Views Citations
A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation (Articles)

Johnson Oladele Fatokun

American Journal of Computational Mathematics Vol.4 No.4，August 29, 2014

DOI: 10.4236/ajcm.2014.44023 4,887 Downloads 5,910 Views Citations
Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs (Articles)

W. W. Mohammed, M. A. Sohaly, A. H. El-Bassiouny, K. A. Elnagar

American Journal of Computational Mathematics Vol.4 No.4，August 29, 2014

DOI: 10.4236/ajcm.2014.44024 4,472 Downloads 5,655 Views Citations
Mean Square Heun’s Method Convergent for Solving Random Differential Initial Value Problems of First Order (Articles)

M. A. Sohaly

American Journal of Computational Mathematics Vol.4 No.5，December 29, 2014

DOI: 10.4236/ajcm.2014.45040 4,272 Downloads 5,780 Views Citations
An Accurate Numerical Integrator for the Solution of Black Scholes Financial Model Equation (Articles)

Iyakino P. Akpan, Johnson O. Fatokun

American Journal of Computational Mathematics Vol.5 No.3，September 2, 2015

DOI: 10.4236/ajcm.2015.53026 5,240 Downloads 6,528 Views Citations
Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows (Articles)

Gou Nishida

Journal of Applied Mathematics and Physics Vol.3 No.11，November 27, 2015

DOI: 10.4236/jamp.2015.311174 2,725 Downloads 3,748 Views Citations

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