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Quantitative Methods
Q. Prove Taylor series method.
Quantitative Methods
Q. Prove Euler Method from taylor series method.
Quantitative Methods
Q. Use Runge Kutta Fehlberg method with tolerance TOL=〖10〗^(-6), hmax=0.5, and hmin=0.05 to approximate the solutions to the following initial value problem. Compare the result to the actual value.
y^'=(t+〖2t〗^3)y^3-ty, 0≤t≤2,y(2)=1, y(0)=1/3 , actual solution y(t)=〖(3+2t^2+6e^(t^2 ))〗^(-1⁄2)
y^'=(t+〖2t〗^3)y^3-ty, 0≤t≤2,y(2)=1, y(0)=1/3 , actual solution y(t)=〖(3+2t^2+6e^(t^2 ))〗^(-1⁄2)
Quantitative Methods
Q. Use Runge Kutta Fehlberg Algorithm with tolerance TOL=〖10〗^(-4) to approximate the solution to the following initial value problem.
y^'=sint+e^(-t), 0≤t≤1,y(0)=0,with hmax=0.25,and hmin 0.02
y^'=sint+e^(-t), 0≤t≤1,y(0)=0,with hmax=0.25,and hmin 0.02
Quantitative Methods
Q. Use Runge Kutta Fehlberg method with tolerance TOL=〖10〗^(-4), hmax=0.25, and hmin=0.05 to approximate the solution to the following initial value problem. Compare the result to the actual value.
y^'=1+〖(t-y)〗^2, 2≤t≤3,y(2)=1, actual solution y(t)=t+1⁄((1-t)).
y^'=1+〖(t-y)〗^2, 2≤t≤3,y(2)=1, actual solution y(t)=t+1⁄((1-t)).
Quantitative Methods
Write down the importnt Viva Questions and answers in Runge kutta method and R.K.F method
Quantitative Methods
Q. List important viva short questions of RK merhod and RKF method.
Quantitative Methods
Q. Apply Runge Kutta Method to slove an I.V.P. comlicated problem.
Quantitative Methods
Q. What is difference between single step and multi step method?
Quantitative Methods
Q.What are mesh points in Runge Kutta Fehlberg method?(Define mesh points)
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