M.A.P.L.E. Lab

Semianalytical Method of Lines

This page provides Maple code for the model described in the paper

V. R. Subramanian and R. E. White, "Semianalytical Method of Lines for Solving Elliptic Partial Differential Equations," Chem. Eng. Sci., 59(4), 781 (2004).

A semianalytical method of lines is presented for solving elliptic partial di$erential equations, which are often used to describe steady-state mass and energy transport in solids. The method provides a semianalytical solution for linear equations and can be used to obtain explicit symbolic series solutions in one of the independent variables for non-linear equations.

If you find this code useful, please consider citing the following papers.

1. V. R. Subramanian and R. E. White, "Semianalytical Method of Lines for Solving Elliptic Partial Differential Equations," Chem. Eng. Sci., 59(4), 781 (2004).
2. V. R. Subramanian and R. E. White, "A Semianalytical Method for Predicting Primary and
Secondary Current Density Distributions: Linear and Nonlinear Boundary Conditions," J.
Electrochem. Soc., 147 (5), 1636-1644 (2000).
3. V. R. Subramanian and R. E. White, "Simulating Shape Changes during Electrodeposition -
Primary and Secondary Current Distribution," J. Electrochem. Soc., 149(10), C498 (2002).
4. V. R. Subramanian, and R. E. White, "Symbolic solutions for boundary value problems using Maple," Comp. Chem. Engng., 24(11), 2405-2416 (2000).

Semi Analytical Method of Lines

Please feel free to contact Dr. Venkat Subramanian for any comments.

This method is also mentioned along with method of lines for parabolic equations in wikipedia.

List of other models:

• Polymer Electrolyte Fuel Cell Model
• Electrical Double Layer Capacitor Model
• Semianalytical method of lines
• Separation of variables for composite electrodes
• False Transient Method of Lines
• Single particle model for lithium-ion batteries