Multistep block method for solving second and third order boundary value problems with robin and mixed type boundary conditions / (Record no. 100612)

MARC details
000 -LEADER
fixed length control field 02653ntm a2200325 i 4500
003 - CONTROL NUMBER IDENTIFIER
control field MY-KuUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260206090937.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field ta
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240417t20202020my a|||fr|||| 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Qualifying information hardback
International Standard Book Number THE0009827 (Local)
040 ## - CATALOGING SOURCE
Language of cataloging eng
Transcribing agency UMPSA
Description conventions rda
Original cataloging agency UMPSA
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) TA347.B69 N33 2020 r Thesis
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Nadirah Mohd Nasir,
Relator term author.
245 10 - TITLE STATEMENT
Title Multistep block method for solving second and third order boundary value problems with robin and mixed type boundary conditions /
Remainder of title Nadirah Binti Mohd Nasir
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Serdang, Selangor :
Name of producer, publisher, distributor, manufacturer Universiti Putra Malaysia,
Date of production, publication, distribution, manufacture, or copyright notice 2020
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice © 2020
300 ## - PHYSICAL DESCRIPTION
Extent xxii, 236 pages :
Other physical details Illustration ;
Dimensions 30 cm.+
Accompanying material 1 CD-ROM.
336 ## - CONTENT TYPE
Source rdacontent
Content type term text
337 ## - MEDIA TYPE
Source rdamedia
Media type term unmediated
338 ## - CARRIER TYPE
Source rdacarrier
Carrier type term volume
347 ## - DIGITAL FILE CHARACTERISTICS
Source rda
File type text file
Encoding format PDF
502 ## - DISSERTATION NOTE
Dissertation note Thesis (Doctor of Philosophy) -- Universiti Putra Malaysia – 2020
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references
520 3# - SUMMARY, ETC.
Summary, etc. multipoint boundary value problems (BVPs) subject to Robin and mixed boundary conditions. The BVPs are solved directly using the new developed two-point diagonally implicit multistep block method in the form of Adams type formula. Constant and variable step size strategy are employed for solving two-point second-order BVPs. Meanwhile, the computed solutions for two-point and multipoint third-order BVPs are limit to constant step size. Shooting technique is implemented in order to solve the BVPs. The initial estimate values are obtained using the Newton’s divided difference interpolation method and Steffensen’s method. Alternatively, the first derivative function is absence during the calculation of guessing values compared to the shooting technique via the Newton’s method. The analysis included order, error constants, consistency, zero-stability and convergence are presented in describing the characteristics of the proposed methods. All the computational procedures were undertaken using the C language in a Code::Blocks 16.01 cross platform. Numerical results showed significant findings where the proposed methods could offer better accuracy results, less costly in terms of total function calls and faster in timing compared to the existing methods. In conclusion, the proposed methods and developed algorithms were shown to be a reliable BVPs solver for solving two-point and multipoint BVPs subject to Robin and mixed boundary conditions directly.
610 20 - SUBJECT ADDED ENTRY--CORPORATE NAME
General subdivision Dissertations
Corporate name or jurisdiction name as entry element Center for Mathematical Sciences
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Boundary element methods
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Thesis
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Date acquired Total checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
  Not lost Library of Congress Classification   In Transit Reference UMPLIB GAMBANG UMPLIB GAMBANG 17/04/2024   TA347.B69 N33 2020 r Thesis T000003058 17/04/2024 1 17/04/2024 Thesis
  Not lost Library of Congress Classification   In Transit Reference UMPLIB GAMBANG UMPLIB GAMBANG 14/05/2024   CD13500 T000003059 14/05/2024 1 14/05/2024 Thesis

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