A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differential equations (PDEs).
The algorithm employs optimal quadratic spline collocation (QSC) for the space discretization and two-stage Gauss method for the time discretization.
The new algorithm results in errors of fourth order at the gridpoints of both the space partition and the time partition, and large time steps are allowed to save computational cost.
The stability of the new algorithm is analyzed for a model problem.
Numerical experiments are carried out to confirm the theoretical order of accuracy and demonstrate the effectiveness of the new algorithm.
American Psychological Association (APA)
Liu, Jun& Wang, Yan. 2012. A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001647
Modern Language Association (MLA)
Liu, Jun& Wang, Yan. A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1001647
American Medical Association (AMA)
Liu, Jun& Wang, Yan. A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001647
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001647