國立虎尾科技大學 |

Analytical techniques for solving nonlinear partial differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analytical techniques for solving nonlinear partial differential equations // Daniel J. Arrigo.
作者:	Arrigo, Daniel J.
面頁冊數:	1 PDF (xiii, 151 pages) :color illustrations. :
附註:	Part of: Synthesis digital library of engineering and computer science.
標題:	Differential equations, Partial. -
電子資源:	https://ieeexplore.ieee.org/servlet/opac?bknumber=8734025
電子資源:	https://doi.org/10.2200/S00907ED1V01Y201903MAS025
ISBN:	9781681735344

Analytical techniques for solving nonlinear partial differential equations /
Arrigo, Daniel J.1960-

Analytical techniques for solving nonlinear partial differential equations /Daniel J. Arrigo. - 1 PDF (xiii, 151 pages) :color illustrations. - Synthesis lectures on mathematics and statistics,#251938-1751 ;. - Synthesis digital library of engineering and computer science..

Part of: Synthesis digital library of engineering and computer science.

Includes bibliographical references.

1. Nonlinear PDEs are everywhere -- 1.1. Exercises -- 1.2. References

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Compendex

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.

Mode of access: World Wide Web.

ISBN: 9781681735344

Standard No.: 10.2200/S00907ED1V01Y201903MAS025doiSubjects--Topical Terms:

527784
Differential equations, Partial.
Subjects--Index Terms:

nonlinear partial differential equations

LC Class. No.: QA377 / .A673 2019eb

Dewey Class. No.: 515/.353

Analytical techniques for solving nonlinear partial differential equations /
LDR:03986nam 2200613 i 4500 001 959767
003 IEEE
005 20190702190106.0
006 m eo d
007 cr cn |||m|||a
008 201209s2019 caua fob 000 0 eng d
020 $a 9781681735344 $q electronic
020 $z 9781681735351 $q hardcover
020 $z 9781681735337 $q paperback
024 7 $a 10.2200/S00907ED1V01Y201903MAS025 $2 doi
035 $a (CaBNVSL)thg00979211
035 $a (OCoLC)1107276077
035 $a 8734025
040 $a CaBNVSL $b eng $e rda $c CaBNVSL $d CaBNVSL
050 4 $a QA377 $b .A673 2019eb
082 0 4 $a 515/.353 $2 23
100 1 $a Arrigo, Daniel J. $q (Daniel Joseph), $d 1960- $e author. $3 1253113
245 1 0 $a Analytical techniques for solving nonlinear partial differential equations / $c Daniel J. Arrigo.
264 1 $a [San Rafael, California] : $b Morgan & Claypool, $c 2019.
300 $a 1 PDF (xiii, 151 pages) : $b color illustrations.
336 $a text $2 rdacontent
337 $a electronic $2 isbdmedia
338 $a online resource $2 rdacarrier
490 1 $a Synthesis lectures on mathematics and statistics, $x 1938-1751 ; $v #25
500 $a Part of: Synthesis digital library of engineering and computer science.
504 $a Includes bibliographical references.
505 0 $a 1. Nonlinear PDEs are everywhere -- 1.1. Exercises -- 1.2. References
505 8 $a 2. Compatibility -- 2.1. Charpit's method -- 2.2. Second-order PDEs -- 2.3. Compatibility in (2 + 1) dimensions -- 2.4. Compatibility for systems of PDEs -- 2.5. Exercises -- 2.6. References
505 8 $a 3. Differential substitutions -- 3.1. Generalized burgers' equation -- 3.2. KdV-MKdv connection -- 3.3. Generalized Kdv equation -- 3.4. Matrix Hopf-Cole transformation -- 3.5. Darboux transformations -- 3.6. Exercises -- 3.7. References
505 8 $a 4. Point and contact transformations -- 4.1. Contact transformations -- 4.2. Contact condition -- 4.3. Plateau problem -- 4.4. Exercises -- 4.5. References
505 8 $a 5. First integrals -- 5.1. Quasilinear second-order equations -- 5.2. Monge-Ampere equation -- 5.3. The Martin equation -- 5.4. First integrals and linearization -- 5.5. Exercises -- 5.6. References
505 8 $a 6. Functional separability -- 6.1. Exercises -- 6.2. References -- 7. Solutions.
506 $a Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 $a Compendex
510 0 $a INSPEC
510 0 $a Google scholar
510 0 $a Google book search
520 $a This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.
530 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Title from PDF title page (viewed on June 26, 2019).
650 0 $a Differential equations, Partial. $3 527784
650 0 $a Differential equations, Nonlinear. $3 528440
653 $a nonlinear partial differential equations
653 $a compatibility
653 $a differential substitutions
653 $a point and contact transformations
653 $a first integrals
653 $a functional separability
776 0 8 $i Print version: $z 9781681735337 $z 9781681735351
830 0 $a Synthesis digital library of engineering and computer science. $3 598254
830 0 $a Synthesis lectures on mathematics and statistics ; $v #26. $3 1253098
856 4 2 $3 Abstract with links to resource $u https://ieeexplore.ieee.org/servlet/opac?bknumber=8734025
856 4 0 $3 Abstract with links to full text $u https://doi.org/10.2200/S00907ED1V01Y201903MAS025