mathmatical modelling malaria using diff
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mathmatical modelling malaria using diff
MATHEMATICAL MODELINGANDORDINARY DIFFERENTIAL EQUATIONSI-Liang CheniDepartment of Mathematics National Taiwan University 2007September 17. 2008Content mathmatical modelling malaria using diff ts1Introduction11.1What is mathematical modeling?........................................ 11.1.1Two Examples.................................................. 11.1.2Methods and tools to solve the differential equations......... 21.2First-order equations............................................... mathmatical modelling malaria using diff .. 41.2.1Autonomous equation........................................... 41.2.2Linear first-order equation................................... 51.2.3Intmathmatical modelling malaria using diff
egration factors and integrals............................. 71.2.4Separable equations ......................................... 101.3Modeling with FirMATHEMATICAL MODELINGANDORDINARY DIFFERENTIAL EQUATIONSI-Liang CheniDepartment of Mathematics National Taiwan University 2007September 17. 2008Content mathmatical modelling malaria using diff f single species........................ 131.3.3Abstract phase field models ..................................201.3.4An example from thermodynamics existence of entropy...........221.4Existence, uniqueness.................................................231.4.1Local existence theorem................ mathmatical modelling malaria using diff .......................231.4.2Uniqueness theorem............................................241.5First Order DifferenceEquations......................mathmatical modelling malaria using diff
................251.5.1Euler method..................................................251.5.2First-order difference equation...........................MATHEMATICAL MODELINGANDORDINARY DIFFERENTIAL EQUATIONSI-Liang CheniDepartment of Mathematics National Taiwan University 2007September 17. 2008Content mathmatical modelling malaria using diff ....................................292.1.1The spring-mass system........................................292.1.2Electrical circuit system.....................................302.2Methods to solve secondorder linear equations........................302.2.1Homogeneous equations........................ mathmatical modelling malaria using diff .................312.3Linear oscillators....................................................342.3.1Harmonic oscillators...............................mathmatical modelling malaria using diff
...........342.3.2Damping.......................................................35MATHEMATICAL MODELINGANDORDINARY DIFFERENTIAL EQUATIONSI-Liang CheniDepartment of Mathematics National Taiwan University 2007September 17. 2008ContentMATHEMATICAL MODELINGANDORDINARY DIFFERENTIAL EQUATIONSI-Liang CheniDepartment of Mathematics National Taiwan University 2007September 17. 2008ContentGọi ngay
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