• 대한수학회보
• /
• 제59권4호
• /
• pp.827-841
• /
• 2022

In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions f(z) and g(z) of the following complex difference equation A₁(z)f(z + 1) + A₀(z)f(z) = F(z)e^𝛼(z) when they share 0, ∞ CM, where A₁(z), A₀(z), F(z) are non-zero polynomials, 𝛼(z) is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.

• 한국물환경학회지
• /
• 제23권5호
• /
• pp.683-688
• /
• 2007

질량보존의 법칙과 Darcy의 법칙으로 표현되는 Richards 방정식은 비포화대의 토양수분흐름을 모의하는데 널리 사용되어 왔다. Richards 방정식은 압력수두의 항으로 표현되는 방정식, 토양수분의 항으로 표현되는 방정식, 그리고 이 둘을 혼합한 형태의 방정식 등, 세가지 형태로 표현할 수 있다. 고차의 비선형 항들을 포함하는 이 편미분방정식들을 수치해석방법으로 풀 때, 질량 비보존을 수반하는 오류의 결과가 초래될 수 있다. 세가지 방정식들 중 혼합형 Richards 방정식이, 다른 추가적인 계산없이 질량을 온전히 보존하는 것으로 알려져 있다. 이 연구의 목적은 동질성 토양에서의 1차원적 연직방향 비포화수 흐름모의를 위해, Richards 방정식의 질량보존적 수치해석법을 완전음해 유한차분법으로 개발하고, 이를 통해 민감도 분석을 실시하여 토양특성인자들과 토양종류에 따른 침투율의 변화를 살펴보는 데 있다.

• 한국연초학회지
• /
• 제22권1호
• /
• pp.76-83
• /
• 2000

This study was carried out to predict blending ratio of cut tobacco(CT), expanded stem(ES), and expanded cut tobacco(ECT) in cigarettes. CT, ES, and ECT samples from A brand were, ground and blended with reference to A blending ratio, and scanned by near infrared spectroscopy(NIRSystem Co., Model 6500). Calibration equations were developed and then determined blending ratio by NIRS. The standard error of calibration(SEC) and performance(SEP) of C factory samples between NIRS and known blending ratio were 0.97%, 1.93% for CT, 0.50%, 1.12 % for ES and 0.68%, 1.10% for ECT, respectively. The SEP of CT, ES and ECT of Band D factory samples determined by C factory calibration equation were more inaccurate than those of C factory samples determined by C factory calibration equations. These results were caused by the difference of CT, ES and ECT spectra followed by each factory. The SEP of CT, ES and ECT of Band D factories determined by calibration equations derived from each factory samples were more accurate than those of determined by calibration equation derived from C factory samples. Each factory SEP of CT, ES and ECT determined by calibration equation derived from all calibration samples(B+C+D factory) was similar to that determined by calibration equation derived from each factory samples. To improve the analytical inaccuracy caused by spectra difference, we need to apply a specific calibration equation for each factory sample. Data in development of specific calibrations between sample and NIRS spectra might supply a method for rapid determination of blending ratio of CT, ES, and ECT.

• 대한수학회보
• /
• 제53권1호
• /
• pp.29-38
• /
• 2016

For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.

• Journal of Advanced Marine Engineering and Technology
• /
• 제18권3호
• /
• pp.94-101
• /
• 1994

To develope the new simulator for the analysis of fluid flow information, the influence of various convective difference schemes were evaluated. General curvilinear coordinate system with nonorthogonal grids was adopted for the successful analysis of various complex geometries. Computation results show that if we can not obtain full grid numbers within available computational environment, we need to use higher order finite difference schemes to keep the prediction accuracy.

• Journal of applied mathematics & informatics
• /
• 제13권1_2호
• /
• pp.125-138
• /
• 2003

Some Riccati type difference inequalities are established for the second-order nonlinear difference equations with negative neutral term $\Delta$(a(n)$\Delta$(x(n) - px(n-$\tau$))) + f(n, x($\sigma$(n))) = 0 using these inequalities we obtain some oscillation criteria for the above equation.

• Korean Journal of Mathematics
• /
• 제29권3호
• /
• pp.473-481
• /
• 2021

In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic coefficients of finite logarithmic order. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.

• 대한수학회보
• /
• 제60권3호
• /
• pp.593-610
• /
• 2023

In view of Nevanlinna theory, we investigate the meromorphic solutions of q-difference differential equations and our results give the estimates about counting function and proximity function of meromorphic solutions to these equations. In addition, some interesting results are obtained for two general equations and a class of system of q-difference differential equations.

• 한국수자원학회논문집
• /
• 제50권12호
• /
• pp.863-875
• /
• 2017

본 연구에서는 SC-PDSI를 이용하여 잠재증발산량 산정 방법이 가뭄지수 산정 결과에 미치는 영향을 평가하였다. 잠재증발산량 산정 방법으로 월열지수법, Penman-Monteith 방법, Hargreaves 공식 등 세 가지 방법을 이용하였으며, 기상청 56개 지점을 대상으로 세 가지 잠재증발산량 산정 방법에 따른 SC-PDSI를 산정하고 그 결과를 비교하였다. 분석 결과, Penman-Monteith 방법에 의한 결과와 Hargreaves 공식에 의한 결과는 월별로 큰 차이 없이 유사한 가뭄지수 산정 결과를 나타내고 있음을 확인하였으며, 월열지수법에 의한 결과는 상대적으로 큰 차이를 보이고 있음을 알 수 있었다. 월별로는 봄철과 겨울철 기간에 대해 산정된 가뭄지수와 가뭄상황 판단 결과가 차이를 보이고 있음을 확인하였다. 결론적으로 우리나라에서 PDSI를 산정하고자 할 경우에는 Penman-Monteith 방법이나 Hargreaves 공식을 이용하는 것이 바람직할 것으로 판단된다.

• 한국콘크리트학회:학술대회논문집
• /
• 한국콘크리트학회 1992년도 가을 학술발표회 논문집
• /
• pp.155-160
• /
• 1992

In this study , the size effect on diagonal shear failure of reinforced high strength concrete beams was investigated, For this purpose, ten singly reinforced high strength concrete beams without web reinforcement were tested for five different dimensions of effective depth which were varied from 67mm to 915mm. The compressive strength of concrete used in this study was 53.7 MPa. One type of reinforcing bar with nominal yield strength of 400 MPa was used. Test results were analyzed and compared with strength predicted by ACI code equation, Zutty's equation and Bazant &Kim's equation. As the results, ACI code equation was seriously unconservative for beams with d of 915mm. Bazant & Kim's equation predicted well the trend of test data. Within the scope of this study, there was no clear difference in size effect with variation of compressive strength of concrete.