Polynomial Chaos Expansion; Stochastic Burgers’ Equation; Upwind Finite-Volume Technique - Articles

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 6,742 Downloads 13,609 Views Citations
An Upper Bound for Conditional Second Moment of the Solution of a SDE (Articles)

Andriy Yurachkivsky

Applied Mathematics Vol.4 No.1, January 28, 2013

DOI: 10.4236/am.2013.41023 3,079 Downloads 5,185 Views Citations
A Review of Wavelets Solution to Stochastic Heat Equation with Random Inputs (Articles)

Anthony Y. Aidoo, Matilda Wilson

Applied Mathematics Vol.6 No.14, December 23, 2015

DOI: 10.4236/am.2015.614196 3,535 Downloads 4,815 Views Citations
A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations (Articles)

Katsuhiro Sakai, Daishi Watabe

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

DOI: 10.4236/ajcm.2011.11004 5,127 Downloads 11,639 Views Citations
Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA (Articles)

Shinji Hamada, Hideo Sekino

Journal of Quantum Information Science Vol.6 No.4, December 13, 2016

DOI: 10.4236/jqis.2016.64017 1,488 Downloads 3,007 Views Citations
A General Analytic Approximation Technique for the Modified Bessel Functions with Fractional Order I_v (x), Applied to I_1/6(x) and I_1/7(x) (Articles)

Jorge Olivares, Pablo Martín, Maria T. Veliz

Advances in Pure Mathematics Vol.14 No.9, September 24, 2024

DOI: 10.4236/apm.2024.149041 136 Downloads 712 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 10,159 Downloads 20,478 Views Citations
Non-Traveling Wave Solutions for the (1 + 1)-Dimensional Burgers System by Riccati Equation Mapping Approach (Articles)

Ruiyang Xu, Songhua Ma

Applied Mathematics Vol.4 No.10C, October 23, 2013

DOI: 10.4236/am.2013.410A3015 3,501 Downloads 5,292 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
Higher-Order Numerical Solution of Two-Dimensional Coupled Burgers’ Equations (Articles)

T. Zhanlav, O. Chuluunbaatar, V. Ulziibayar

American Journal of Computational Mathematics Vol.6 No.2, June 16, 2016

DOI: 10.4236/ajcm.2016.62013 2,700 Downloads 4,840 Views Citations
Adaptive Boundary Control for the Dynamics of the Generalized Burgers-Huxley Equation (Articles)

Zaki Mrzog Alaofi, Talaat Sayed Ali, Faisal Abd Alaal, Silvestru Sever Dragomir

Open Journal of Applied Sciences Vol.12 No.8, August 25, 2022

DOI: 10.4236/ojapps.2022.128098 220 Downloads 1,087 Views Citations
Stochastic Viscosity Solutions for SPDEs with Discontinuous Coefficients (Articles)

Yidong Zhang

Applied Mathematics Vol.11 No.11, November 30, 2020

DOI: 10.4236/am.2020.1111083 777 Downloads 1,676 Views Citations
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation (Articles)

Fuwen Lu, Zhiyong Wang

Applied Mathematics Vol.3 No.10, October 12, 2012

DOI: 10.4236/am.2012.310162 5,693 Downloads 9,632 Views Citations
Brownian Motion & the Stochastic Behavior of Stocks (Articles)

Pantelis Tassopoulos, Yorgos Protonotarios

Journal of Mathematical Finance Vol.12 No.1, February 15, 2022

DOI: 10.4236/jmf.2022.121009 446 Downloads 3,918 Views Citations
Optimal Strategies for COVID-19 Control in a Stochastic Process (Articles)

Bongor Danhree, Koina Rodoumta

Applied Mathematics Vol.16 No.10, October 28, 2025

DOI: 10.4236/am.2025.1610037 79 Downloads 554 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613192 3,510 Downloads 5,114 Views Citations
This article belongs to the Special Issue on Fractional Calculus
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology (Articles)

Mahmoud A. E. Abdelrahman, Magdi Hakeem Armanious, Emad H. M. Zahran, Mostafa M. A. Khater

American Journal of Computational Mathematics Vol.5 No.1, March 12, 2015

DOI: 10.4236/ajcm.2015.51001 4,922 Downloads 9,445 Views Citations
A Stochastic Correlation Model with Time Change for Pricing Credit Spread Options (Articles)

Zhigang Tong, Allen Liu

Journal of Mathematical Finance Vol.7 No.2, May 31, 2017

DOI: 10.4236/jmf.2017.72024 1,579 Downloads 3,387 Views Citations
This article belongs to the Special Issue on Option Pricing
Solution of Second-Order Ordinary Differential Equations via Simulated Annealing (Articles)

Abdulazeez Bilesanmi, Ashiribo Senapon Wusu, Akinwale Lewis Olutimo

Open Journal of Optimization Vol.8 No.1, February 27, 2019

DOI: 10.4236/ojop.2019.81003 1,119 Downloads 3,008 Views Citations
Multi-Derivative Multistep Method for Initial Value Problems Using Boundary Value Technique (Articles)

Emmanuel A. Areo, Oluwatoyin A. Edwin

Open Access Library Journal Vol.7 No.3, March 19, 2020

DOI: 10.4236/oalib.1106063 610 Downloads 2,524 Views Citations
Solving Navier-Stokes with Maclaurin Series (Articles)

Gabriele Martino

Journal of Applied Mathematics and Physics Vol.10 No.4, April 29, 2022

DOI: 10.4236/jamp.2022.104096 245 Downloads 1,607 Views Citations

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