- #1
mikel
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Hello,
I am a geologist working on a fluid mechanics problem. Solving the PDE for my problem, this Bessel integral arises:
\int_{0}^{R} x^3 J_0 (ax) dx
where J_0 is the Bessel function of first kind, and a is a constant.
I haven't found the solution in any table or book, and due to my limited background in applied mathematics I don't know how to integrate it by myself.
Does anybody know the solution?
Thanks a lot in advance
I am a geologist working on a fluid mechanics problem. Solving the PDE for my problem, this Bessel integral arises:
\int_{0}^{R} x^3 J_0 (ax) dx
where J_0 is the Bessel function of first kind, and a is a constant.
I haven't found the solution in any table or book, and due to my limited background in applied mathematics I don't know how to integrate it by myself.
Does anybody know the solution?
Thanks a lot in advance