Cody

# Problem 46012. Find the zeros of the Bessel function of the first kind

Solution 2690531

Submitted on 14 Jul 2020 by ChrisR
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### Test Suite

Test Status Code Input and Output
1   Pass
nu = 0; k = 1; j_correct = 2.404825557695773; assert(abs(BesselJzero(nu,k)-j_correct)/j_correct < 1e-4)

2   Pass
nu = 1; k = 3; j_correct = 10.17346813506272; assert(abs(BesselJzero(nu,k)-j_correct)/j_correct < 1e-4)

3   Pass
nu = 2; k = 2; j_correct = 8.41724414039981; jp_correct = 6.70613; [j,jp] = BesselJzero(nu,k); assert(abs(j-j_correct)/j_correct < 1e-4) assert(abs(jp-jp_correct)/jp_correct < 1e-4)

4   Pass
nu = 0; j_correct = [2.404826 5.520078 8.653728 11.791534 14.930918]; jp_correct = [0 3.831706 7.015587 10.173468 13.323692]; for k = 1:5 [j(k) jp(k)] = BesselJzero(nu,k); end assert(all(abs(j-j_correct)/j_correct < 1e-4)) assert(all(abs(jp-jp_correct)/jp_correct < 1e-4))

5   Pass
nu = 3; j_correct = [6.380162 9.761023 13.015201 16.223466 19.409415]; jp_correct = [4.20119 8.01524 11.3459 14.5858 17.7887]; for k = 1:5 [j(k) jp(k)] = BesselJzero(nu,k); end assert(all(abs(j-j_correct)/j_correct < 1e-4)) assert(all(abs(jp-jp_correct)/jp_correct < 1e-4))

6   Pass
nu = 1/3; k = 5; j_correct = 15.450649; assert(abs(BesselJzero(nu,k)-j_correct)/j_correct < 1e-4)

7   Pass
nu = 1/2; k = randi(5); j_correct = k*pi; assert(abs(BesselJzero(nu,k)-j_correct)/j_correct < 1e-4)

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