ERIC Number: EJ814431
Record Type: Journal
Publication Date: 2008-Dec
Abstractor: As Provided
Reference Count: 6
Exponentially Fitted Variants of Euler's Method for ODEs
Kanwar, V.; Tomar, S. K.
International Journal of Mathematical Education in Science and Technology, v39 n8 p1112-1116 Dec 2008
A new class of Euler's method for the numerical solution of ordinary differential equations is presented in this article. The methods are iterative in nature and admit their geometric derivation from an exponentially fitted osculating straight line. They are single-step methods and do not require evaluation of any derivatives. The accuracy and stability of the proposed methods are considered and their applicability to stiff problems is also discussed.
Descriptors: Geometric Concepts, Calculus, Equations (Mathematics), Computation, Higher Education, Mathematics Instruction
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Authoring Institution: N/A