Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations

E. A. Bakirova; N. B. Iskakova; A. T. Assanova

doi:10.1007/s11253-020-01719-8

Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations

Ukrainian Mathematical Journal ◽

10.1007/s11253-020-01719-8 ◽

2020 ◽

Vol 71 (9) ◽

pp. 1341-1358

Author(s):

E. A. Bakirova ◽

N. B. Iskakova ◽

A. T. Assanova

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Integrodifferential Equations ◽

Linear Boundary

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Necessary and Sufficient Conditions for the Solvability of Linear Boundary-Value Problems for the Fredholm Integrodifferential Equations

Ukrainian Mathematical Journal ◽

10.1007/s11253-015-1003-6 ◽

2015 ◽

Vol 66 (8) ◽

pp. 1200-1219 ◽

Cited By ~ 7

Author(s):

D. S. Dzhumabaev

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Sufficient Conditions ◽

Integrodifferential Equations ◽

Necessary And Sufficient Conditions ◽

Linear Boundary ◽

Necessary And Sufficient

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Numerical method for solving linear boundary value problems by the chebyshev τ-method

Applied Mathematics and Mechanics ◽

10.1007/bf02452485 ◽

1999 ◽

Vol 20 (8) ◽

pp. 873-879 ◽

Cited By ~ 2

Author(s):

Muhammed I. Syam ◽

Hani I. Siyyam ◽

Qassem Al-Moudalal

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Linear Boundary

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Application of the averaging method for solving multipoint boundary-value problems with linear boundary condition for systems of volterra-type integrodifferential equations not solved for the derivative

Ukrainian Mathematical Journal ◽

10.1007/bf01085911 ◽

1976 ◽

Vol 28 (2) ◽

pp. 192-196 ◽

Cited By ~ 1

Author(s):

S. D. Milusheva ◽

D. D. Bainov

Keyword(s):

Boundary Condition ◽

Boundary Value Problems ◽

Averaging Method ◽

Boundary Value ◽

Integrodifferential Equations ◽

Linear Boundary ◽

Volterra Type ◽

Multipoint Boundary ◽

Linear Boundary Condition ◽

Multipoint Boundary Value Problems

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Numerical method for a class of singular non-linear boundary value problems using Green's functions

International Journal of Computer Mathematics ◽

10.1080/00207160701208509 ◽

2007 ◽

Vol 84 (3) ◽

pp. 403-410 ◽

Cited By ~ 4

Author(s):

Zhongdi Cen

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Green's Functions ◽

Green’S Functions ◽

Boundary Value ◽

Linear Boundary ◽

Non Linear

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Trefftz-like numerical method for linear boundary-value problems

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1640090708 ◽

1993 ◽

Vol 9 (7) ◽

pp. 607-612 ◽

Cited By ~ 5

Author(s):

A. V. Khokhlov

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Linear Boundary

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Conservative numerical method for solving static linear boundary value problems of elastic shells of revolution

Computational Continuum Mechanics ◽

10.7242/1999-6691/2012.5.1.11 ◽

2012 ◽

Vol 5 (1) ◽

pp. 85-99 ◽

Cited By ~ 2

Author(s):

I.V. Kireev ◽

Y.V. Nemirovskii

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Linear Boundary ◽

Shells Of Revolution ◽

Elastic Shells ◽

Conservative Numerical Method

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A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(98)00096-4 ◽

1999 ◽

Vol 23 (5-6) ◽

pp. 375-389 ◽

Cited By ~ 63

Author(s):

Tulong Zhu ◽

Jindong Zhang ◽

S.N. Atluri

Keyword(s):

Integral Equation ◽

Boundary Value Problems ◽

Numerical Method ◽

Boundary Integral Equation ◽

Boundary Value ◽

Boundary Integral ◽

Linear Boundary ◽

Local Boundary ◽

Local Boundary Integral Equation ◽

Non Linear

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Numerical method of solving boundary-value problems for integrodifferential equations with deviating argument

Ukrainian Mathematical Journal ◽

10.1007/bf01060583 ◽

1989 ◽

Vol 41 (6) ◽

pp. 734-739 ◽

Cited By ~ 1

Author(s):

I. M. Cherevko ◽

I. V. Yakimov

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Integrodifferential Equations ◽

Deviating Argument

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A numerical method for third-order non-linear boundary-value problems in engineering

International Journal of Computer Mathematics ◽

10.1080/0020716042000261469 ◽

2005 ◽

Vol 82 (1) ◽

pp. 103-109 ◽

Cited By ~ 14

Author(s):

Ikram A. Tirmizi ◽

E. H. Twizell ◽

Siraj-Ul-Islam

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Linear Boundary ◽

Third Order ◽

Non Linear

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The Optimization of the Approximate Method of the Solution of Linear Boundary Value Problems for Volterra Integrodifferential Equations with Functional Delays

The Bulletin of Irkutsk State University Series Mathematics ◽

10.26516/1997-7670.2017.19.195 ◽

2017 ◽

Vol 19 ◽

pp. 195-204

Author(s):

G. A. Shishkin ◽

Keyword(s):

Boundary Value Problems ◽

Approximate Method ◽

Boundary Value ◽

Integrodifferential Equations ◽

Linear Boundary

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