A general approach for using a stiff equation solver to integrate a system of partial differential equations | Zendy

Zimmerman W. R. | Zendy

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A general approach for using a stiff equation solver to integrate a system of partial differential equations

Author(s) -

Zimmerman W. R.

Publication year - 1995

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690110505

Subject(s) - mathematics , partial differential equation , solver , nonlinear system , separable partial differential equation , first order partial differential equation , ordinary differential equation , exponential integrator , method of characteristics , numerical partial differential equations , shock (circulatory) , method of lines , explicit and implicit methods , differential equation , stochastic partial differential equation , differential algebraic equation , exact differential equation , mathematical analysis , mathematical optimization , medicine , physics , quantum mechanics

A general approach for using a stiff ordinary differential equation solver to integrate a system of time‐dependent partial differential equations in one spacial dimension is described. A computer program based upon the algorithm was written and used to solve nonlinear problems in shock hydrodynamics and hydrology as well as a nonlinear system of ordinary differential equations. The approach is global‐implicit and provides an option to the development of specialized computer programs for specific problems of interest. © 1995 John Wiley & Sons, Inc.

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