肇庆学院学报
肇慶學院學報
조경학원학보
JOURNAL OF ZHAOQING UNIVERSITY
2011年
5期
1-4
,共4页
Modified-Helmholtz方程%谱变换%Riemann-Hilbert边值问题
Modified-Helmholtz方程%譜變換%Riemann-Hilbert邊值問題
Modified-Helmholtz방정%보변환%Riemann-Hilbert변치문제
modified Helmholtz equation%spectral transform%Riemann-Hilbert boundary value problem
考虑一类楔形域上Modified-Helmholtz方程的混合边值问题.利用新型的Fokas谱变换方法,将问题转化为求解一类Riemann-Hilbert边值问题,从而得到了方程解的封闭积分表达式.
攷慮一類楔形域上Modified-Helmholtz方程的混閤邊值問題.利用新型的Fokas譜變換方法,將問題轉化為求解一類Riemann-Hilbert邊值問題,從而得到瞭方程解的封閉積分錶達式.
고필일류설형역상Modified-Helmholtz방정적혼합변치문제.이용신형적Fokas보변환방법,장문제전화위구해일류Riemann-Hilbert변치문제,종이득도료방정해적봉폐적분표체식.
A spectral transform method for solving initial boundary-value problems for linear and for integral nonlinear PDEs has been introduced recently by Fokas.By using this method,the mixed boundary value problem for the modified Helmholtz equation in a wedge is discussed.The problem is changed to solve a Riemann-Hilbert boundary value problem.Finally,the integral representation of the solution is obtained in closed form.
