지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 869 - 881 (13page)
이용수
초록· 키워드
오류제보하기
Most first kind integral equations are ill-posed, and obtaining their numerical solution often requires solving a linear system of algebraic equations of large condition number, which may be difficult or impossible. This article proposes a regularization-direct method to numerically solve first kind Fredholm integral equations. The vector forms of block-pulse functions and related properties are applied to formulate the direct method and reduce the integral equation to a linear system of algebraic equations. We include a regularization scheme to overcome the ill-posedness of integral equation and obtain a stable numerical solution. Some test problems are solved using the proposed regularization-direct method to illustrate its efficiency for solving first kind Fredholm integral equations.
목차
등록된 정보가 없습니다.
참고문헌 (24)
참고문헌 신청
J. Caldwell / 1994 / Numerical study of Fredholm integral equations / Int. J. Math. Edu. Sci. Tech 25:831~836
A. Deb / 1997 / All-integrator approach to linear SISO control system analysis using block pulse functions (BPF) / J. Franklin Institute 334B(2):319~335
A. Deb / 1994 / Block pulse functions, the most fundamental of all piecewise constant basis functions / Internat. J. Systems Sci. 25(2):351~363
L. M. Delves / 1985 / Computational methods for integral equations / Cambridge University Press
W. A. Essah / 1989 / The numerical solution of first kind integral equations / J. Comput. Appl. Math 27:363~387
A. Deb / 1997 / All-integrator approach to linear SISO control system analysis using block pulse functions (BPF) / J. Franklin Institute 334B(2):319~335
A. Deb / 1994 / Block pulse functions, the most fundamental of all piecewise constant basis functions / Internat. J. Systems Sci. 25(2):351~363
L. M. Delves / 1985 / Computational methods for integral equations / Cambridge University Press
W. A. Essah / 1989 / The numerical solution of first kind integral equations / J. Comput. Appl. Math 27:363~387
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
The reliable modified of Laplace adomian decomposition method to solve nonlinear interval Volterra-Fredholm integral equations
한국수학논문집
2017 .01
-
A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
호남수학학술지
2015 .01
-
APPLICATION OF FIXED POINT THEOREM FOR UNIQUENESS AND STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRAL EQUATIONS
Journal of applied mathematics & informatics
2018 .01
-
A QUADRATIC INTEGRAL EQUATION IN THE SPACE OF FUNCTIONS WITH TEMPERED MODULI OF CONTINUITY
Journal of applied mathematics & informatics
2015 .01
-
Solving non-linear Fredholm integro-differential equations with combined orthonormal Bernstein and improved block-pulse functions
Proceedings of the Jangjeon Mathematical Society
2024 .07
-
Numerical solution of Abel's general fuzzy linear integral equations by fractional calculus method
한국수학논문집
2021 .09
-
Regularization for the problem of finding a solution of a system of nonlinear monotone ill-posed equations in Banach spaces
대한수학회지
2018 .01
-
APPROXIMATIONS OF SOLUTIONS FOR A NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH DEVIATED ARGUMENT
Journal of applied mathematics & informatics
2015 .01
-
SOLVABILITY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME NONLINEAR INTEGRAL EQUATIONS RELATED TO CHANDRASEKHAR’S INTEGRAL EQUATION ON THE REAL HALF LINE
Nonlinear Functional Analysis and Applications
2023 .03
-
Existence and uniqueness theorems of second-order equations with integral boundary conditions
대한수학회보
2018 .01
-
A RESERCH ON NONLINEAR (p, q)-DIFFERENCE EQUATION TRANSFORMABLE TO LINEAR EQUATIONS USING (p, q)-DERIVATIVE
Journal of applied mathematics & informatics
2018 .01
-
EXISTENCE OF SOLUTION FOR SYSTEM OF INTEGRAL EQUATIONS AND FUNCTIONAL EQUATIONS THROUGH NON-NEGATIVE FUNCTION WITH PROPERTY OF ONENESS
Nonlinear Functional Analysis and Applications
2018 .12
-
SOLUTION OF A NONLINEAR DELAY INTEGRAL EQUATION VIA A FASTER ITERATIVE METHOD
Nonlinear Functional Analysis and Applications
2024 .03
-
Unified integral operator inequalities via convex composition of two functions
한국수학논문집
2021 .01
-
A GEOMETRIC METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2025 .03
-
Approximation of solutions through the Fibonacci wavelets and measure of noncompactness to nonlinear Volterra-Fredholm fractional integral equations
한국수학논문집
2024 .03
-
COMBINED LAPLACE TRANSFORM WITH ANALYTICAL METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH A CONVOLUTION KERNEL
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .06
-
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
Kyungpook Mathematical Journal
2020 .01
-
BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES
순수 및 응용수학
2017 .08
-
A New Class of Double Integrals
순수 및 응용수학
2021 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0