Solution of stiff boundary value problems by orthogonal collocation | Zendy

Serth R. W. | Zendy

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Solution of stiff boundary value problems by orthogonal collocation

Author(s) -

Serth R. W.

Publication year - 1975

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620090315

Subject(s) - mathematics , orthogonal collocation , singular boundary method , boundary value problem , collocation (remote sensing) , variety (cybernetics) , collocation method , singular perturbation , mathematical analysis , finite element method , computer science , ordinary differential equation , differential equation , boundary element method , engineering , structural engineering , statistics , machine learning

The utility of the method of orthogonal collocation for solving stiff boundary value problems is investigated. To this end, the method is applied to a number of very stiff problems from the engineering and applied mathematics literature. The examples include both linear and non‐linear problems defined on both finite and infinite intervals, a singular perturbation problem, and an inherently unstable problem. The examples demonstrate the usefulness of the method for a wide variety of stiff problems, as well as some of its limitations.

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