I have to solve this by using python program. I want to know detaile code in python. I need your help. Thank you!

1. Consider the one-dimensional, transient (i.e. time-dependent) heat conduction equation without heat generating sources ar a 37 PC atarar) where p is density, C, heat capacity, k thermal conductivity, T temperature, 1 distance, and t time. If the thermal conductivity, density and heat capacity are constant over the model domain, the equation can be simplified to 8? ?? atar where pcp is the thermal diffusivity (a common value for rocks is = 10-6m/s). We are interested in the temperature evolution versus time, T(x, t), given an initial temperature distribution Figure.1. An example would be the intrusion of a basaltic dike in cooler country rocks. The country rock has a temperature of 300C and the dike a total width W = 5m, with a magma temperature of 1200C. In addition we assume that the temperature far away from the dike center (at L/2where L=100m) remains at a constant temperature, 300C. Let the Ti(t) be maximum temperature of dike when time is t. Plot Ta(t) graph by using natural cubic spline interpolation. Find the time t, such Ta(G) = 600C by using bisection, Newton's method or secant method. country rock dike T(x,0) 1 Store Figure 1: Setup of the thermal cooling model considered here sertion Splime 1. Consider the one-dimensional, transient (i.e. time-dependent) heat conduction equation without heat generating sources ar a 37 PC atarar) where p is density, C, heat capacity, k thermal conductivity, T temperature, 1 distance, and t time. If the thermal conductivity, density and heat capacity are constant over the model domain, the equation can be simplified to 8? ?? atar where pcp is the thermal diffusivity (a common value for rocks is = 10-6m/s). We are interested in the temperature evolution versus time, T(x, t), given an initial temperature distribution Figure.1. An example would be the intrusion of a basaltic dike in cooler country rocks. The country rock has a temperature of 300C and the dike a total width W = 5m, with a magma temperature of 1200C. In addition we assume that the temperature far away from the dike center (at L/2where L=100m) remains at a constant temperature, 300C. Let the Ti(t) be maximum temperature of dike when time is t. Plot Ta(t) graph by using natural cubic spline interpolation. Find the time t, such Ta(G) = 600C by using bisection, Newton's method or secant method. country rock dike T(x,0) 1 Store Figure 1: Setup of the thermal cooling model considered here sertion Splime