拋物型變換 的英文怎麼說
中文拼音 [pāowùxíngbiànhuàn]
拋物型變換
英文
parabolic transformation-
At the beginning of fourth chapter, the article transforms the solving problem of partial differential equation for the american put price into a standard initial and boundary value problem of parabolic type by making some transformations. afterwards, the solving problem of parabolic type is transformed into a initial value problem of ordinary differential equation with respect to through fourier transform again. at the last section of the fourth chapter, the article solves the initial value problem with the progressive euler method and the finite element method
在第四章，對美式看跌期權價格所滿足的偏微分方程定解問題通過作一系列變換，使之轉化為一個標準的拋物型初、邊值問題，接著又通過傅里葉變換，把拋物型初、邊值問題轉換為一個關于時間變量的常微分方程初值問題，然後再分別利用改進的歐拉法和有限元法對其進行了求解。An extended hyperbolic mild - slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. it became a complete wave model when integrated with corresponding physical and imaginary ( open ) boundaries, and can be solved through the improved crank - nicholson or the well known alternating direction implicit ( adi ) difference method, both of which can accelerate the convergent speed, expand limitation of the mathematical method and improve the quality of the solution
本文基於綜合考慮底摩阻、風能輸入及非線性影響的推廣雙曲型緩坡方程，將其進行轉換，產生一個演變方程，其復振幅控制方程為拋物線性，並採用adi差分格式、改進的crank - nicholson格式及相應的物理和虛擬（開）邊界條件進行求解，以提高數值模擬的適用性、數值計算的穩定性、收斂速度及精度。The solving theorem of second order linear parabolic equation changeable into ordinary differential equation
二階線性拋物型方程可變換為常微分方程求解定理
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