How can I write this equation into MATLAB script

Question

Lauren Maher 2019-9-16

评论： Lauren Maher 2019-9-24

dpb 2019-9-16

You could try the symbolic toolbox but I don't know how successful it'll be.

Basically, you need to write a function that computes enough terms of the series that it converges to some chosen level of accuracy.

Lauren Maher 2019-9-24

Thank you!

Answer 1

Jyothis Gireesh 2019-9-19

Symbolic Math Toolbox may be used to implement the above equation in MATLAB. Here are a few suggestions which may be helpful in the implementation

Declare “n” as a symbolic variable and “N” as a symbolic function of two variables “x” and “t” using the following syntax

syms n N(x,t)

F = exp(-((2*n+1)*pi)^2*D*t/L^2)*sin((2*n+1)*pi*x/L)/((2*n+1)*pi^3);  
Fsum = symsum(F,n,0,inf); 

Here “n” is replaced by “2n+1” so that only odd terms are considered in the summation.

The function “symsum()” sets the limits of summation from 0 to inf.

Remaining terms can be written as normal equation in MATLAB

Please use the following documentation links on how to create symbolic functions and “symsum()” to get a better understanding

Lauren Maher 2019-9-24

Thank you!