Difference between revisions of "Scilab/C4/ODE-Euler-methods/English-timed"

|Dear Friends,  

 

| Welcome to the Spoken Tutorial on '''“Solving ODEs using Euler Methods” '''

|Develop '''Scilab''' code to solve '''ODEs'''

|and '''Scilab 5.3.3''' version  

| To practise this tutorial, a learner  

||The initial value of y is given as '''minus one'''  

 

|| and the '''step length''' is given as '''zero point one.'''  

 

 

 

||We define the function '''Euler underscore o d e with arguments f, t init, y init, h and n'''

 

|'where '''f''' denotes the function to be solved,  

 

 

||'''y init'''  is the initial value of '''y'''

 

| '''h''' is the '''step length,''' and '''n''' is the number of '''iterations.'''  

 

| Then we initialize the values of '''t''' and '''y to vectors of zeros. '''

| Finally we end the '''function. '''

|Save and execute the file '''Euler underscore o d e dot sci'''

|'''d e f f open paranthesis open single quote open square bracket y dot close square bracket equal to f of t comma y close single quote comma open single quote y dot equal to open paranthesis minus two asterisk t close paranthesis minus y close single quote close paranthesis '''

 

| Then type '''t init is equal to zero. '''

 

 

|Press '''Enter. '''

 

 

 

||Type '''y init is equal to minus one. '''

 

 

||Press '''Enter '''

 

| Type '''step length h is equal to zero point one. '''

 

 

 

| Press '''Enter'''

 

 

| The '''step length is zero point one,''' and we have to find the value of '''y''' at '''zero point five.'''

 

 

| So type '''capital N is equal to five.'''  

 

 

 

 

|And press '''Enter.'''

 

 

| To '''call''' the '''function,''' type  

 

| '''open square bracket t comma y close square bracket equal to Euler underscore o d e open paranthesis f comma t init comma y init comma h comma capital N close paranthesis '''

| Let us look at the code for '''Modified Euler method on Scilab Editor'''

|We define the '''function''' with '''arguments f, t init, y init, h and n'''  

 

| '''where f''' is the '''function''' to be solved

 

 

| '''y init''' is the inital value of  '''y'''

 

| '''n''' is the number of '''iterations.'''  

 

|Save and execute the file '''Modi Euler underscore o d e dot sci.'''  

|Define the '''function''' by typing '''d e f f open paranthesis open single quote open square bracket y dot close square bracket equal to f of t comma y close single quote comma open single quote y dot equal to t plus y plus t asterisk y close single quote close paranthesis'''  

 

|Then type '''t init equal to zero''',  press Enter  

 

 

|Type '''y init equal to one''' and press '''Enter.'''  

 

 

|Then type '''h equal to zero point zero one''' press '''Enter.'''  

 

|Type '''capital N equal to ten.'''  

 

 

|Since the number of '''iterations should be ten to time t equal to zero point one with step length of zero point zero one. '''

 

|Then call the '''function modi euler underscore o d e''' by typing.'''

 

|'''open square bracket t comma y close square bracket equal to modi euler underscore o d e open paranthesis f comma t init comma y init comma h comma capital N close paranthesis'''  

 

| Watch the video available at the  link shown below

 

| It summarises the Spoken Tutorial project  

 

 

 

||If you do not have good bandwidth, you can download and watch it  

 

||The spoken tutorial project Team

 

||Conducts workshops using spoken tutorials  

 

 

||Gives certificates to those who pass an online test  

 

 

||For more details, please write to contact@spoken-tutorial.org  

 

 

|Spoken Tutorial Project is a part of the Talk to a Teacher project  

 

 

 

|More information on this mission is available at the link shown below

 

|This is Ashwini Patil signing off.