Journal Article10.1016/J.AMC.2005.11.007
Compact finite difference method for integro-differential equations
Jichao Zhao,Robert M. Corless +1 more
131
TL;DR: Wang et al. as mentioned in this paper gave a compact finite difference method for second order integro-differential equations (IDE) with different boundary conditions, and both of error estimates and numerical experiments confirm that the method can get fifth order of accuracy.
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About: This article is published in Applied Mathematics and Computation. The article was published on 01 Jun 2006. The article focuses on the topics: Compact finite difference & Finite difference coefficient.
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Citations
Matrix iterative analysis (2nd edn), by Richard S. Varga. Springer Series in Computational Mathematics 27. Pp. 358. £55. 2000. ISBN 3 540 66321 5 (Springer Verlag).
TL;DR: Roughly one in six of Walsh's 281 publications are included, photographically reproduced, and reproduction is excellent except for one paper from 1918, which is an obituary.
706
Three-dimensional Integrated Functional, Structural, and Computational Mapping to Define the Structural "Fingerprints" of Heart-Specific Atrial Fibrillation Drivers in Human Heart Ex Vivo.
Jichao Zhao,Brian J. Hansen,Yufeng Wang,Thomas A. Csepe,Lidiya V. Sul,Alan Tang,Yiming Yuan,Ning Li,Anna Bratasz,Kimerly A. Powell,Ahmet Kilic,Peter J. Mohler,Paul M.L. Janssen,Raul Weiss,Orlando P. Simonetti,John D. Hummel,Vadim V. Fedorov +16 more
TL;DR: A novel 3D computational high‐resolution framework may be used to quantitatively analyze structural substrates, such as wall thickness, myofiber orientation, and fibrosis, underlying localized AF drivers, and aid the development of new patient‐specific treatments.
132
Bessel polynomial solutions of high-order linear Volterra integro-differential equations
TL;DR: A practical matrix method, which is based on collocation points, is presented to find approximate solutions of high-order linear Volterra integro-differential equations (VIDEs) under the mixed conditions in terms of Bessel polynomials.
63
A new collocation method for solution of mixed linear integro-differential-difference equations
TL;DR: In this article, a numerical solution of mixed linear integro-differential-difference equation using Chebyshev collocation method is presented, which is based mainly on a Chebyhev expansion approach.
61
A highly accurate method to solve Fisher’s equation
TL;DR: In this paper, the spatial derivative in the proposed Fisher's-type equation is approximated by a sixth-order compact finite difference (CFD6) scheme, and the obtained system of differential equations using a third-order total variation diminishing Runge-Kutta (TVD-RK3) scheme.
52
References
Matrix Iterative Analysis
J. H. Bramble,Richard S. Varga +1 more
Abstract: Matrix Properties and Concepts.- Nonnegative Matrices.- Basic Iterative Methods and Comparison Theorems.- Successive Overrelaxation Iterative Methods.- Semi-Iterative Methods.- Derivation and Solution of Elliptic Difference Equations.- Alternating-Direction Implicit Iterative Methods.- Matrix Methods for Parabolic Partial Differential Equations.- Estimation of Acceleration Parameters.
6.8K
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Matrix iterative analysis
Richard S. Varga
- 30 Nov 1961
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
5.8K
Matrix iterative analysis (2nd edn), by Richard S. Varga. Springer Series in Computational Mathematics 27. Pp. 358. £55. 2000. ISBN 3 540 66321 5 (Springer Verlag).
TL;DR: Roughly one in six of Walsh's 281 publications are included, photographically reproduced, and reproduction is excellent except for one paper from 1918, which is an obituary.
706
•Book
Generalized difference methods for differential equations
Ronghua Li,Zhongying Chen,Wei Wu +2 more
- 01 Jan 2000
TL;DR: In this article, two point boundary value problems (TPV) and convection-dominated diffusion problems are investigated. But the authors focus on the second-order and fourth-order elliptic equations.
397
A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
Ayşen Karamete,Mehmet Sezer +1 more
TL;DR: A matrix method called the Taylor collocation method is presented for numerically solving the linear integro-differential equations by a truncated Taylor series and it can be used for linear differential and integral equations.
136