How to write Pearcey functions?

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xiang zhang
xiang zhang 2020-10-26
回答： Star Strider 2020-10-26

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回答（2 个）

Ameer Hamza
Ameer Hamza 2020-10-26
编辑：Ameer Hamza 2020-10-26
You can use integral() function
Pe = @(x, y) integral(@(s) exp(1i*(s.^4 + s.*x + s.^2.*y)), -inf, inf); % first equation
Pe = @(x) integral(@(s) exp(1i*(s.^4 + s.^2.*x)), -inf, inf); % second equation
Star Strider
Star Strider 2020-10-26
I would code them as:
Pe1 = @(x) integral(@(s) exp(1i*(s.^4 + s.^2.*x)), -Inf, Inf, 'ArrayValued',1);
Pe2 = @(x,y) integral(@(s) exp(1i*(s.^4 + s.*x + s.^2.*y)), -Inf, Inf, 'ArrayValued',1);
These run without error (however not without Warnings, since I am not certain what the arguments should be, and those I tested it with threw Warnings).

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