How can i use GPU Computing for Besselk & Besseli function and integral ？

Question

Wang 2021-8-20

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https://ww2.mathworks.cn/matlabcentral/answers/1437759-how-can-i-use-gpu-computing-for-besselk-besseli-function-and-integral

评论： Wang 2021-8-25

The form of my function and its integral ：

Function = @( xx_in , a , b ,u, k ) besselk( 0 , sqrt( ( a - xx_in ) .^ 2 + b  ) .* sqrt( u ) ) + k .* besseli( 0 , sqrt( ( a - xx_in ) .^ 2 + b  ) .* sqrt( u ) )  ;   
intmyfun( ixxx , : ) = integral( @( xx_in ) Function( xx_in , A_Fis_roll , A_Comb_roll_r ,  u_f_roll , ksi_2_roll ) , Limt_U_Lock ,    Limt_D_Lock , 'ArrayValued' , true ) ;   %*The parameter ：a , b ,u , k is (1 * 5.8e6 )double 

The Besselk and Besseli is common functions in study of fulid or gas seepage mechanism ，if i have to use GPU computing in matlab to make my code run faster ，Is there any alternative methods？

Thanks a lot！！！

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Answer 1

Edric Ellis 2021-8-24

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https://ww2.mathworks.cn/matlabcentral/answers/1437759-how-can-i-use-gpu-computing-for-besselk-besseli-function-and-integral#answer_773349

Unfortunately, the Bessel functions are not yet supported on the GPU, so there is no straightforward workaround for this part. Instead of integral, you might be able to use trapz instead.