IMPLICIT ONE-STEP L-STABLE GENERALIZED HYBRID METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS

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SHOKRI ALI; SHOKRI ABBAS ALI

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Journal: Iranian Journal of Mathematical Chemistry Year:2013 | Volume:4 | Issue:2 Page(s): 201-212

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Information Journal Paper

Title

IMPLICIT ONE-STEP L-STABLE GENERALIZED HYBRID METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS

Author(s)

SHOKRI ALI | SHOKRI ABBAS ALI | Issue Writer Certificate

Keywords

HYBRID METHODQ2

INITIAL VALUE PROBLEMQ3

MULTISTEP METHODSQ2

OFF-STEP POINTSQ2

Abstract

In this paper, we introduce the new class of implicit L-stable generalized HYBRID METHODs for the numerical solution of first order INITIAL VALUE PROBLEMs. We generalize the HYBRID METHODs with utilize ynv directly in the right hand side of classical HYBRID METHODs. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the numerical solution of stiff first order INITIAL VALUE PROBLEMs.

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APA: Copy

SHOKRI, ALI, & SHOKRI, ABBAS ALI. (2013). IMPLICIT ONE-STEP L-STABLE GENERALIZED HYBRID METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 4(2), 201-212. SID. https://sid.ir/paper/205624/en

Vancouver: Copy

SHOKRI ALI, SHOKRI ABBAS ALI. IMPLICIT ONE-STEP L-STABLE GENERALIZED HYBRID METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2013;4(2):201-212. Available from: https://sid.ir/paper/205624/en

IEEE: Copy

ALI SHOKRI, and ABBAS ALI SHOKRI, “IMPLICIT ONE-STEP L-STABLE GENERALIZED HYBRID METHODS FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 4, no. 2, pp. 201–212, 2013, [Online]. Available: https://sid.ir/paper/205624/en

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