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Volumn 30, Issue 23, 1997, Pages 8139-8155

Symmetry-preserving difference schemes for some heat transfer equations

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EID: 0031558843     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/23/014     Document Type: Article
Times cited : (53)

References (20)
  • 3
    • 0031642929 scopus 로고    scopus 로고
    • An invariant moving mesh scheme for the nonlinear diffusion equation
    • to appear
    • Budd C and Collins G 1997 An invariant moving mesh scheme for the nonlinear diffusion equation Appl. Num. Math. to appear
    • (1997) Appl. Num. Math.
    • Budd, C.1    Collins, G.2
  • 4
    • 0001261677 scopus 로고
    • On invariant solutions of a nonlinear heat transfer equation with a source
    • in Russian
    • Dorodnitsyn V A 1982 On invariant solutions of a nonlinear heat transfer equation with a source Zh. Vychisl. Mat. i Mat. Fiz. 22 1393 (in Russian)
    • (1982) Zh. Vychisl. Mat. I Mat. Fiz. , vol.22 , pp. 1393
    • Dorodnitsyn, V.A.1
  • 5
    • 0040474176 scopus 로고
    • Preprint Keldysh Institute of Applied Mathematics, N67, Moscow
    • Dorodnitsyn V A 1987 Taylor's group and transformations, conserving finite differences Preprint Keldysh Institute of Applied Mathematics, N67, Moscow Dorodnitsyn V A 1988 Newton's group and commutative properties of Lie-Backlund operators in finite difference space Preprint Keldysh Institute of Applied Mathematics N175, Moscow Dorodnitsyn V A 1991 Transformation groups in mesh spaces J. Sov. Math. 55 N1 1490
    • (1987) Taylor's Group and Transformations, Conserving Finite Differences
    • Dorodnitsyn, V.A.1
  • 6
    • 0039881205 scopus 로고
    • Preprint Keldysh Institute of Applied Mathematics N175, Moscow
    • Dorodnitsyn V A 1987 Taylor's group and transformations, conserving finite differences Preprint Keldysh Institute of Applied Mathematics, N67, Moscow Dorodnitsyn V A 1988 Newton's group and commutative properties of Lie-Backlund operators in finite difference space Preprint Keldysh Institute of Applied Mathematics N175, Moscow Dorodnitsyn V A 1991 Transformation groups in mesh spaces J. Sov. Math. 55 N1 1490
    • (1988) Newton's Group and Commutative Properties of Lie-backlund Operators in Finite Difference Space
    • Dorodnitsyn, V.A.1
  • 7
    • 0001158863 scopus 로고
    • Transformation groups in mesh spaces
    • N1
    • Dorodnitsyn V A 1987 Taylor's group and transformations, conserving finite differences Preprint Keldysh Institute of Applied Mathematics, N67, Moscow Dorodnitsyn V A 1988 Newton's group and commutative properties of Lie-Backlund operators in finite difference space Preprint Keldysh Institute of Applied Mathematics N175, Moscow Dorodnitsyn V A 1991 Transformation groups in mesh spaces J. Sov. Math. 55 N1 1490
    • (1991) J. Sov. Math. , vol.55 , pp. 1490
    • Dorodnitsyn, V.A.1
  • 9
    • 0000759240 scopus 로고
    • Finite-difference analogue of Noether's theorem
    • N6 in Russian
    • Dorodnitsyn V A 1993 Finite-difference analogue of Noether's theorem Dokl. Akad. Nauk SSSR 328 N6 678 (in Russian)
    • (1993) Dokl. Akad. Nauk SSSR 328 , pp. 678
    • Dorodnitsyn, V.A.1
  • 10
    • 0013338498 scopus 로고
    • Invariant discrete models for the Korteweg-de Vries equation
    • Universite de Monreal
    • Dorodnitsyn V 1994 Invariant discrete models for the Korteweg-de Vries equation CRM-2187 (Universite de Monreal)
    • (1994) CRM-2187
    • Dorodnitsyn, V.1
  • 11
    • 21844515167 scopus 로고
    • Lie symmetries of finite difference equations
    • Floreanini R and Vinet L 1995 Lie symmetries of finite difference equations J. Math. Phys. 36 7024
    • (1995) J. Math. Phys. , vol.36 , pp. 7024
    • Floreanini, R.1    Vinet, L.2
  • 14
    • 0038957699 scopus 로고
    • The similarity method for difference equations
    • Maeda S 1987 The similarity method for difference equations J. Inst. Math. Appl. 38 129.
    • (1987) J. Inst. Math. Appl. , vol.38 , pp. 129
    • Maeda, S.1
  • 17
    • 0001332556 scopus 로고
    • Group properties of a nonlinear heat equation
    • N3 in Russian
    • Ovsiannikov L V 1959 Group properties of a nonlinear heat equation Dokl. Akad. Nauk SSSR 125 N3 492 (in Russian)
    • (1959) Dokl. Akad. Nauk SSSR , vol.125 , pp. 492
    • Ovsiannikov, L.V.1
  • 19
    • 0002517698 scopus 로고
    • Examples of numerical solutions of temperature waves
    • N4 in Russian
    • Samarskii A A and Sobol I M 1963 Examples of numerical solutions of temperature waves Zh. Vychisl. Mat. i Mat. Fiz. 3 N4 702 (in Russian)
    • (1963) Zh. Vychisl. Mat. I Mat. Fiz. , vol.3 , pp. 702
    • Samarskii, A.A.1    Sobol, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.