A Semi-implicit Backward Differentiation ADI Method for Solving Monodomain Model

Computational Science – ICCS 2021 - Lecture Notes in Computer Science ◽

10.1007/978-3-030-77977-1_43 ◽

2021 ◽

pp. 541-548

Author(s):

Maryam Alqasemi ◽

Youssef Belhamadia

Keyword(s):

Monodomain Model

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Monotone iterative ADI method for solving coupled systems of nonlinear parabolic equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.03.009 ◽

2016 ◽

Vol 108 ◽

pp. 204-222 ◽

Author(s):

Igor Boglaev

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Coupled Systems ◽

Monotone Iterative ◽

Nonlinear Parabolic

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High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.10.016 ◽

2021 ◽

Author(s):

R.K. Mohanty ◽

Bishnu Pada Ghosh

Keyword(s):

High Resolution ◽

Hyperbolic Equations ◽

Telegraphic Equation ◽

Step Approximation ◽

Linear Hyperbolic Equations

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An Extension Use of ADI Method in the Solution of Biharmonic Equation

AL-Rafidain Journal of Computer Sciences and Mathematics ◽

10.33899/csmj.2006.164038 ◽

2006 ◽

Vol 3 (1) ◽

pp. 85-94

Author(s):

Ahmed Jassim

Keyword(s):

Biharmonic Equation ◽

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Monotone iterative ADI method for semilinear parabolic problems

BIT Numerical Mathematics ◽

10.1007/s10543-014-0529-6 ◽

2014 ◽

Vol 55 (3) ◽

pp. 647-676

Author(s):

Igor Boglaev

Keyword(s):

Parabolic Problems ◽

Monotone Iterative ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problems

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A High Order Mathematical Model for Calculating Casting Temperature Field Based on ADI Method

EPD Congress 2013 ◽

10.1002/9781118658468.ch9 ◽

2013 ◽

pp. 73-78

Author(s):

XiaoFeng Niu ◽

Wei Liang ◽

Hua Hou

Keyword(s):

Mathematical Model ◽

Temperature Field ◽

Casting Temperature ◽

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Approximate complex electrical potential distribution in the monodomain model with unequal conductivity and relative permittivity anisotropy ratios

Physiological Measurement ◽

10.1088/1361-6579/ab3aa1 ◽

2019 ◽

Vol 40 (8) ◽

pp. 085008

Author(s):

H Kwon ◽

M Martinez de Morentin ◽

J A Nagy ◽

S B Rutkove ◽

B Sanchez

Keyword(s):

Relative Permittivity ◽

Potential Distribution ◽

Electrical Potential ◽

Monodomain Model

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Compact ADI method for solving parabolic differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1037 ◽

2002 ◽

Vol 18 (2) ◽

pp. 129-142 ◽

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Differential Equations ◽

Parabolic Differential Equations ◽

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Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method

Computer Physics Communications ◽

10.1016/j.cpc.2014.05.017 ◽

2014 ◽

Vol 185 (10) ◽

pp. 2449-2455 ◽

Author(s):

Shuying Zhai ◽

Xinlong Feng ◽

Yinnian He

Keyword(s):

Numerical Simulation ◽

Three Dimensional ◽

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Error analysis of a high-order compact ADI method for two-dimensional fractional convection-subdiffusion equations

CALCOLO ◽

10.1007/s10092-015-0150-3 ◽

2015 ◽

Vol 53 (3) ◽

pp. 301-330 ◽

Author(s):

Yuan-Ming Wang ◽

Tao Wang

Keyword(s):

Error Analysis ◽

Two Dimensional ◽

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A tensor product generalized ADI method for elliptic problems on cylindrical domains with holes

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(86)90172-x ◽

1986 ◽

Vol 16 (1) ◽

pp. 43-58 ◽

Author(s):

Wayne R. Dyksen

Keyword(s):

Tensor Product ◽

Elliptic Problems ◽

Cylindrical Domains

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