Mathematical Modelling and Computer Simulation
ISSN: 2168-9679

# Journal of Applied & Computational MathematicsOpen Access

OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

#### Open Access Journals gaining more Readers and Citations

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

## Mathematical Modelling and Computer Simulation

Huang Y1*, Zhang H2 and Laibin G2

1School of Mathematics and Information Science, Anshan Normal University Anshan 114005, P. R. China

2School of Information and Technology, Jilin Agricultural University Changchun 130118, P. R. China

*Corresponding Author:
Huang Y
School of mathematics and information science
Anshan Normal University, Anshan, 114005, P. R. China
Tel: +86 0412 2960120
E-mail: [email protected]

Received Date: February 15, 2016; Accepted Date: February 24, 2016; Published Date: March 01, 2016

Citation: Huang Y, Zhang H, Laibin G (2016) Mathematical Modelling and Computer Simulation. J Appl Computat Math 5:291. doi:10.4172/2168-9679.1000291

Copyright: © 2016 Huang Y, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

### Abstract

This article adopts and analyzes a stochastic collocation method to approximate the solution of four order elliptic partial differential equations with random coefficients and forcing terms, which are applied for some mathematicalbiology model. The method is composed of a Galerkin finite approximation in space and a collocation in the zeros of suitable tensor product orthogonal polynomials (Gauss points) in the probability space, and natural brings on the solution of uncoupled deterministic problems. The well-posedness of the elliptic partial differential equations is investigated as well under some regular assumptions. Strong error estimates for the fully discrete solution using L2 norms are obtained in this work.

### Related Subjects

Peer Reviewed Journals

Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18

Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

### Conferences by Country

Agri, Food, Aqua and Veterinary Science Journals

Dr. Krish

1-702-714-7001 Extn: 9040

Clinical and Biochemistry Journals

Datta A

1-702-714-7001Extn: 9037

Ronald

1-702-714-7001Extn: 9042

Chemical Engineering and Chemistry Journals

Gabriel Shaw

1-702-714-7001 Extn: 9040

Earth & Environmental Sciences

Katie Wilson

1-702-714-7001Extn: 9042

Engineering Journals

James Franklin

1-702-714-7001Extn: 9042

General Science and Health care Journals

Andrea Jason

1-702-714-7001Extn: 9043

Genetics and Molecular Biology Journals

Anna Melissa

1-702-714-7001 Extn: 9006

Immunology & Microbiology Journals

David Gorantl

1-702-714-7001Extn: 9014

Informatics Journals

Stephanie Skinner

1-702-714-7001Extn: 9039

Material Sciences Journals

Rachle Green

1-702-714-7001Extn: 9039

Mathematics and Physics Journals

Jim Willison

1-702-714-7001 Extn: 9042

Medical Journals

Nimmi Anna

1-702-714-7001 Extn: 9038

Neuroscience & Psychology Journals

Nathan T

1-702-714-7001Extn: 9041

Pharmaceutical Sciences Journals

John Behannon

1-702-714-7001Extn: 9007

Social & Political Science Journals

Steve Harry

1-702-714-7001 Extn: 9042

© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version