Яшил иқтисодиёт ва тараққиёт Том 3 № 1 (2025) · с. 75-83

Application of the Method of Straight Lines for Solving Parabolic Equations with Arbitrary Linear Boundary Conditions

Sodiqov, Baxtiyor

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Аннотация

A method for applying the straight-line technique by transforming a problem with arbitrary linear boundary conditions into a Dirichlet problem is developed. Assuming the boundary values of the desired function are given, the Dirichlet problem is solved. The actual boundary values of the desired functions are found by aligning the assumed boundary values with the newly obtained values according to boundary condition approximations. These values are then used to implement the straight-line method, ensuring second-order accuracy for equation and boundary condition approximations.

Finite Difference MethodHeat TransferDirichlet ProblemEigenvalues and Vectors

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APA 7 
Sodiqov, Baxtiyor (2025). Application of the Method of Straight Lines for Solving Parabolic Equations with Arbitrary Linear Boundary Conditions. Яшил иқтисодиёт ва тараққиёт, 3(1), 75-83.
GOST R 7.0.5 
Sodiqov, Baxtiyor Application of the Method of Straight Lines for Solving Parabolic Equations with Arbitrary Linear Boundary Conditions // Яшил иқтисодиёт ва тараққиёт. 2025. Т. 3. № 1. С. 75-83.
BibTeX 
@article{baxtiyor2025,
  author  = {Sodiqov, Baxtiyor},
  title   = {Application of the Method of Straight Lines for Solving Parabolic Equations with Arbitrary Linear Boundary Conditions},
  journal = {Яшил иқтисодиёт ва тараққиёт},
  year    = {2025},
  volume  = {3},
  number  = {1},
  pages   = {75-83}
}
RIS 
TY  - JOUR
AU  - Sodiqov, Baxtiyor
TI  - Application of the Method of Straight Lines for Solving Parabolic Equations with Arbitrary Linear Boundary Conditions
JO  - Яшил иқтисодиёт ва тараққиёт
PY  - 2025
VL  - 3
IS  - 1
SP  - 75
EP  - 83
ER  -