01001nam a22002057a 4500952013100000999001700131040003700148082001300185100002400198245009600222260003500318300003800353500014800391500004100539500004200580502005900622546001200681650009500693942000700788  00104071aRIUbRIUd2023-12-23eRiphah International University l0o510 MALp102164r2023-12-23 00:00:00t1w2023-12-23yTH  c54017d54017  cRiphah International University   a510bMAL  aMaliha Riaz (35684)  aModified runge-kutta method based on contraharmonic mean for solving initial value problems  aIslamabadb(Unpublished)c2023  avii, 72 p.b: ill.c; 30 cm.e+CD  aSubmitted in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Basic Sciences.  aIncludes bibliographical references.  aThesis supervisor: Dr. Mudassir Shams  aThesis (M.Phil)--Riphah International University, 2023  aEnglish  aMathematics vNumerical stability vZero stability vPreliminaries vSeir modelvDBSvFEAS  cTH