메뉴 건너뛰기




Volumn 15, Issue 3, 2010, Pages 491-501

Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation

Author keywords

Fractional calculus; Fractional transport equation; Walsh function

Indexed keywords

CALCULATIONS; ORTHOGONAL FUNCTIONS; WALSH TRANSFORMS;

EID: 70349986628     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.024     Document Type: Article
Times cited : (31)

References (24)
  • 2
    • 0008954984 scopus 로고
    • A numerical method for multigroup slab-geometry discrete ordinates problems with no spatial truncation error
    • Barros R.C., and Larsen E.W. A numerical method for multigroup slab-geometry discrete ordinates problems with no spatial truncation error. Trans Theory Stat Phys 20 (1991) 441
    • (1991) Trans Theory Stat Phys , vol.20 , pp. 441
    • Barros, R.C.1    Larsen, E.W.2
  • 3
    • 0025403791 scopus 로고
    • A numerical method for one-group slab geometry di{dotless}screte ordinate problem without spatial truncation error
    • Barros R.C., and Larsen E.W. A numerical method for one-group slab geometry di{dotless}screte ordinate problem without spatial truncation error. Nucl Sci Eng 104 (1990) 199
    • (1990) Nucl Sci Eng , vol.104 , pp. 199
    • Barros, R.C.1    Larsen, E.W.2
  • 4
    • 0026241181 scopus 로고
    • A new analytical approach to solve the neutron transport equation
    • Vilhena M.T., and Barichello L.B. A new analytical approach to solve the neutron transport equation. Kerntechnik 56 (1991) 334-336
    • (1991) Kerntechnik , vol.56 , pp. 334-336
    • Vilhena, M.T.1    Barichello, L.B.2
  • 5
    • 70349983166 scopus 로고    scopus 로고
    • Chebyshev spectral method for the fractional radiative transfer equation
    • submitted for publication
    • Kadem A. Chebyshev spectral method for the fractional radiative transfer equation, submitted for publication.
    • Kadem, A.1
  • 6
    • 34250967631 scopus 로고
    • Zur theorie der orthogolen funktionen systeme
    • Haar A. Zur theorie der orthogolen funktionen systeme. Math Ann 69 (1970) 331-371
    • (1970) Math Ann , vol.69 , pp. 331-371
    • Haar, A.1
  • 8
    • 0000334512 scopus 로고
    • A remarkable series of orthogonal functions (I and II)
    • and 265279
    • Paley R.E.A. A remarkable series of orthogonal functions (I and II). Lond Math Soc 34 (1932) 241264 and 265279
    • (1932) Lond Math Soc , vol.34 , pp. 241264
    • Paley, R.E.A.1
  • 9
    • 84968466278 scopus 로고
    • On the Walsh functions
    • Fine N.J. On the Walsh functions. Trans Am Math Soc 65 (1949) 372-414
    • (1949) Trans Am Math Soc , vol.65 , pp. 372-414
    • Fine, N.J.1
  • 10
    • 0016558589 scopus 로고
    • A Walsh series direct method for solving variational problems
    • Chen C.F., and Hsiao C.H. A Walsh series direct method for solving variational problems. J Franklin Inst 300 4 (1975) 265-280
    • (1975) J Franklin Inst , vol.300 , Issue.4 , pp. 265-280
    • Chen, C.F.1    Hsiao, C.H.2
  • 11
    • 34247394106 scopus 로고    scopus 로고
    • On systems of linear fractional differential equations with constant coefficients
    • Bonilla B., Rivero M., and Trujillo J.J. On systems of linear fractional differential equations with constant coefficients. Appl Math Comput 187 (2007) 68-87
    • (2007) Appl Math Comput , vol.187 , pp. 68-87
    • Bonilla, B.1    Rivero, M.2    Trujillo, J.J.3
  • 13
    • 0028484377 scopus 로고
    • A solution of linear transport equation using Walsh function and Laplace transform
    • Cardona A.V., and Vilhena M.T. A solution of linear transport equation using Walsh function and Laplace transform. Ann Nucl Energy 21 (1994) 495-505
    • (1994) Ann Nucl Energy , vol.21 , pp. 495-505
    • Cardona, A.V.1    Vilhena, M.T.2
  • 14
    • 0015662698 scopus 로고
    • Solution of differential and integral equations with Walsh functions
    • Corrington M.S. Solution of differential and integral equations with Walsh functions. IEEE Trans Circuit Theory 20 (1973) 470-476
    • (1973) IEEE Trans Circuit Theory , vol.20 , pp. 470-476
    • Corrington, M.S.1
  • 22
    • 0003427295 scopus 로고    scopus 로고
    • Hilfer R. (Ed), World Scientific Publishing Company, Singapore
    • In: Hilfer R. (Ed). Applications of fractional calculus in physics (2000), World Scientific Publishing Company, Singapore
    • (2000) Applications of fractional calculus in physics
  • 24
    • 0023564009 scopus 로고
    • An efficient algorithm for partial expansion of the linear matrix pencil inverse
    • Trzaska Z. An efficient algorithm for partial expansion of the linear matrix pencil inverse. J Franklin Inst 324 4 (1987) 465-477
    • (1987) J Franklin Inst , vol.324 , Issue.4 , pp. 465-477
    • Trzaska, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.