LEADER 03767nam 2200853 450 001 9910787077203321 005 20230803204655.0 010 $a3-11-027178-8 010 $a3-11-036829-3 024 7 $a10.1515/9783110271782 035 $a(CKB)3710000000229365 035 $a(EBL)894052 035 $a(SSID)ssj0001333214 035 $a(PQKBManifestationID)11747387 035 $a(PQKBTitleCode)TC0001333214 035 $a(PQKBWorkID)11377457 035 $a(PQKB)10967692 035 $a(MiAaPQ)EBC894052 035 $a(DE-B1597)174137 035 $a(OCoLC)1002243496 035 $a(OCoLC)1004878494 035 $a(OCoLC)1011446972 035 $a(OCoLC)890070869 035 $a(OCoLC)979584272 035 $a(OCoLC)987936831 035 $a(OCoLC)992544602 035 $a(OCoLC)999354869 035 $a(DE-B1597)9783110271782 035 $a(Au-PeEL)EBL894052 035 $a(CaPaEBR)ebr11006493 035 $a(CaONFJC)MIL805018 035 $a(EXLCZ)993710000000229365 100 $a20140502h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aKeller-box method and its application /$fby Kuppalapalle Vajravelu, Kerehalli V. Prasad 210 1$aBerlin ;$aBoston :$cDe Gruyter/Higher Education Press,$d[2014] 210 4$dİ2014 215 $a1 online resource (414 p.) 225 1 $aDe Gruyter studies in mathematical physics,$x2194-3532 ;$vvolume 8 300 $aDescription based upon print version of record. 311 $a3-11-027179-6 311 $a3-11-027137-0 320 $aIncludes bibliographical references and index. 327 $aBasics of the finite difference approximations -- Principles of the implicit Keller-box method -- Stability and convergence of the implicit Keller-box method -- Application of the Keller-box method to boundary layer problems -- Application of the Keller-box method to fluid flow and heat transfer problems -- Application of the Keller-box method to more advanced problems. 330 $aMost of the problems arising in science and engineering are nonlinear. They are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation. 410 0$aDe Gruyter studies in mathematical physics ;$v8. 606 $aDifferential equations, Nonlinear$xNumerical solutions 606 $aFinite differences 606 $aNonlinear boundary value problems 606 $aFluid mechanics 610 $aComputational Fluid Mechanics. 610 $aDifferential Equation. 610 $aKeller-Box Method. 610 $aNonlinear Problem. 610 $aNumerical Method. 615 0$aDifferential equations, Nonlinear$xNumerical solutions. 615 0$aFinite differences. 615 0$aNonlinear boundary value problems. 615 0$aFluid mechanics. 676 $a530.15/5355 686 $aUF 4000$2rvk 700 $aVajravelu$b Kuppalapalle$01534952 702 $aPrasad$b Kerehalli V. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910787077203321 996 $aKeller-box method and its application$93782856 997 $aUNINA