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_qhardback _aTHE0009827 (Local) |
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| 090 | _aTA347.B69 N33 2020 r Thesis | ||
| 100 | 1 |
_aNadirah Mohd Nasir, _eauthor. |
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_aMultistep block method for solving second and third order boundary value problems with robin and mixed type boundary conditions / _bNadirah Binti Mohd Nasir |
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_aSerdang, Selangor : _bUniversiti Putra Malaysia, _c2020 |
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| 264 | 4 | _c© 2020 | |
| 300 |
_axxii, 236 pages : _bIllustration ; _c30 cm.+ _e1 CD-ROM. |
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_2rdacontent _atext |
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_2rdamedia _aunmediated |
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_2rdacarrier _avolume |
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_2rda _atext file _bPDF |
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| 502 | _aThesis (Doctor of Philosophy) -- Universiti Putra Malaysia – 2020 | ||
| 504 | _aIncludes bibliographical references | ||
| 520 | 3 | _amultipoint 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 | 2 | 0 |
_xDissertations _aCenter for Mathematical Sciences |
| 650 | 0 | _aBoundary element methods | |
| 650 | 0 | _aEngineering mathematics | |
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_2lcc _cTHESIS |
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