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Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods

Oluwaseun ADEYEYE [1] , Zurni OMAR [2]

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This article introduces two approaches to develop block methods for solving second order ordinary differential equations directly. Both approaches, namely a new linear block approach and the modified Taylor series approach are capable of producing a family of methods that will simultaneously approximate the solutions of any ordinary differential equation at the respective grid points of the block method. The computational complexities of both approaches are examined, and the results show the new linear block approach require less computations compared to the modified Taylor series approach.

Computational Complexity, New Linear Block, Modified Taylor Series, Block Methods, Second Order ODEs
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Primary Language en Engineering Mathematics Author: Oluwaseun ADEYEYE (Primary Author)Country: Malaysia Author: Zurni OMARCountry: Malaysia Publication Date: June 1, 2019
 Bibtex @research article { gujs370515, journal = {GAZI UNIVERSITY JOURNAL OF SCIENCE}, issn = {}, eissn = {2147-1762}, address = {Gazi University}, year = {2019}, volume = {32}, pages = {608 - 614}, doi = {}, title = {Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods}, key = {cite}, author = {ADEYEYE, Oluwaseun and OMAR, Zurni} } APA ADEYEYE, O , OMAR, Z . (2019). Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods. GAZI UNIVERSITY JOURNAL OF SCIENCE, 32 (2), 608-614. Retrieved from http://dergipark.org.tr/gujs/issue/45480/370515 MLA ADEYEYE, O , OMAR, Z . "Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 (2019): 608-614 Chicago ADEYEYE, O , OMAR, Z . "Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 (2019): 608-614 RIS TY - JOUR T1 - Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods AU - Oluwaseun ADEYEYE , Zurni OMAR Y1 - 2019 PY - 2019 N1 - DO - T2 - GAZI UNIVERSITY JOURNAL OF SCIENCE JF - Journal JO - JOR SP - 608 EP - 614 VL - 32 IS - 2 SN - -2147-1762 M3 - UR - Y2 - 2018 ER - EndNote %0 GAZI UNIVERSITY JOURNAL OF SCIENCE Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods %A Oluwaseun ADEYEYE , Zurni OMAR %T Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods %D 2019 %J GAZI UNIVERSITY JOURNAL OF SCIENCE %P -2147-1762 %V 32 %N 2 %R %U ISNAD ADEYEYE, Oluwaseun , OMAR, Zurni . "Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 / 2 (June 2019): 608-614. AMA ADEYEYE O , OMAR Z . Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods. GAZI UNIVERSITY JOURNAL OF SCIENCE. 2019; 32(2): 608-614. Vancouver ADEYEYE O , OMAR Z . Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods. GAZI UNIVERSITY JOURNAL OF SCIENCE. 2019; 32(2): 614-608.