%PDF-1.5 % 1 0 obj << /S /GoTo /D (section.1) >> endobj 4 0 obj (Introduction) endobj 5 0 obj << /S /GoTo /D (section.2) >> endobj 8 0 obj (Methodology) endobj 9 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 12 0 obj (Derivation of more accurate formulae) endobj 13 0 obj << /S /GoTo /D (subsubsection.2.1.1) >> endobj 16 0 obj (The new third order formula) endobj 17 0 obj << /S /GoTo /D (subsubsection.2.1.2) >> endobj 20 0 obj (The new fourth order formula) endobj 21 0 obj << /S /GoTo /D (subsubsection.2.1.3) >> endobj 24 0 obj (The new fifth order formula) endobj 25 0 obj << /S /GoTo /D (section.3) >> endobj 28 0 obj (The Romberg scheme of new third, fourth and fifth-order formula) endobj 29 0 obj << /S /GoTo /D (section.4) >> endobj 32 0 obj (Examples) endobj 33 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 36 0 obj (Let us consider a first order linear initial value problem in the form as) endobj 37 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 40 0 obj (Now we consider a first order non-nonlinear initial value problem in the form) endobj 41 0 obj << /S /GoTo /D (section.5) >> endobj 44 0 obj (Result and Discussions) endobj 45 0 obj << /S /GoTo /D (section.6) >> endobj 48 0 obj (Conclusion) endobj 49 0 obj << /S /GoTo /D [50 0 R /Fit] >> endobj 63 0 obj << /Length 2833 /Filter /FlateDecode >> stream xڭv6=_G@ $nsMkhHf@R2mӍ }$f$[~}&T"M'_Z~b^ ɮj$ճoDdT]R8&^|(J'l.vB,W1OԒ^)-oZ.V.mϙV7߉z{WbCS~uYTzi$~sA6Md GT6~)`_UHrFYJf"uS`նlᇥd}}+E)jSmAMw嗥0Suκ>1`#ádtb(R9gPT k(ѱЙ!]Yr!Nấ╏u+"oh^C#IZ?EcLf']zN lD,Ьߌ11.V Yu}# 4zI1v
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