A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems

Joint Authors

Ismail, Eddie Shahril
Samat, F.

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-05-01

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

A new two-step modified explicit hybrid method with parameters depending on the step-size is constructed.

This method is derived using the coefficients from a sixth-order explicit hybrid method with extended interval of absolute stability and then imposed each stage of the modified formula to exactly integrate the differential equations with solutions that can be expressed as linear combinations of sinwx and coswx, where w is the known frequency.

Numerical results show the advantage of the new method for solving oscillatory problems.

American Psychological Association (APA)

Samat, F.& Ismail, Eddie Shahril. 2020. A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188072

Modern Language Association (MLA)

Samat, F.& Ismail, Eddie Shahril. A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188072

American Medical Association (AMA)

Samat, F.& Ismail, Eddie Shahril. A Two-Step Modified Explicit Hybrid Method with Step-Size-Dependent Parameters for Oscillatory Problems. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188072

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188072