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Pouria Assari

Associate Professor

Update: 2024-12-26

Pouria Assari

Faculty of Basic Sciences / Department of Mathematics

Journal Paper

  1. "Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2024
  2. "An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs"
    Pouria Assari, Mehdi Dehghan, سیدعلیرضا حسینیان
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024
  3. "The numerical solution of a mathematical model of the Covid‑19 pandemic utilizing a meshless local discrete Galerkin method"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    ENGINEERING WITH COMPUTERS, 2023
  4. "Local Galerkin Method Based on the Moving Least Squares Approximation for Solving Delay Integral Equations Arisen from an Air Pollution Model"
    Pouria Assari, Mehdi Dehghan, سیدعلیرضا حسینیان
    International Journal of Computational Methods, 2023
  5. "On the approximate solution of dynamic systems derived from the HIV infection of CD+4 T cells using the LRBF-collocation scheme"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023
  6. "On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023
  7. "The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis"
    Pouria Assari, Mehdi Dehghan, سیدعلیرضا حسینیان
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023
  8. "The approximate solution of charged particle motion equations in oscillating magnetic fields using the local multiquadrics collocation method"
    Pouria Assari, Fatemeh Asadi-Mehregan
    ENGINEERING WITH COMPUTERS, 2021
  9. "A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    ANZIAM JOURNAL, 2021
  10. "THE NUMERICAL SOLUTION OF NONLINEAR WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATIONS BASED ON THE DUAL-CHEBYSHEV WAVELETS"
    Pouria Assari, Mehdi Dehghan
    Applied and Computational Mathematics, 2020
  11. "Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020
  12. "On the numerical solution of Fredholm integral equations utilizing the local radial basis function method"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019
  13. "Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions"
    Pouria Assari, Mehdi Dehghan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019
  14. "A meshless local Galerkin method for the numerical solution of Hammerstein integral equations based on the moving least squares technique"
    Pouria Assari
    Journal of Applied Analysis and Computation, 2019
  15. "On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method"
    Pouria Assari, Mehdi Dehghan
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019
  16. "The Implication of Local Thin Plate Splines for Solving Nonlinear Mixed Integro-Differential Equations Based on the Galerkin Scheme"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    Numerical Mathematics-Theory Methods and Applications, 2019
  17. "A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique"
    Pouria Assari, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, 2019
  18. "A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines"
    Pouria Assari, Salvatore Cuomo, Fatemeh Asadi-Mehregan
    APPLIED MATHEMATICS AND COMPUTATION, 2019
  19. "Local multiquadric scheme for solving two-dimensional weakly singular Hammerstein integral equations"
    Pouria Assari, Fatemeh Asadi-Mehregan
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2019
  20. "On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace’s Equations Based on the Meshless Local Discrete Collocation Method"
    Pouria Assari, Mehdi Dehghan
    Advances in Applied Mathematics and Mechanics, 2019
  21. "Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations"
    Pouria Assari, Fatemeh Asadi-Mehregan
    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 2019
  22. "The Numerical Solution of Fredholm-Hammerstein Integral Equations by Combining the Collocation Method and Radial Basis Functions"
    Pouria Assari
    Filomat, 2019
  23. "Application of dual‑Chebyshev wavelets for the numerical solution of boundary integral equations with logarithmic singular kernels"
    Pouria Assari, Mehdi Dehghan
    ENGINEERING WITH COMPUTERS, 2019
  24. "A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations"
    Pouria Assari, Mehdi Dehghan
    APPLIED MATHEMATICS AND COMPUTATION, 2019
  25. "A Local Galerkin Integral Equation Method for Solving Integro-differential Equations Arising in Oscillating Magnetic Fields"
    Pouria Assari, Mehdi Dehghan
    Mediterranean Journal of Mathematics, 2018
  26. "Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations"
    Pouria Assari
    APPLICABLE ANALYSIS, 2018
  27. "On the numerical solution of two‑dimensional integral equations using a meshless local discrete Galerkin scheme with error analysis"
    Pouria Assari
    ENGINEERING WITH COMPUTERS, 2018
  28. "The numerical solution of fractional differential equations using the Volterra integral equation method based on thin plate splines"
    Pouria Assari, Salvatore Cuomo
    ENGINEERING WITH COMPUTERS, 2018
  29. "A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equations"
    Pouria Assari, Mehdi Dehghan
    Numerical Mathematics-Theory Methods and Applications, 2018
  30. "The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions"
    Pouria Assari, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, 2018
  31. "A meshless local discrete collocation (MLDC) scheme for solving 2-dimensional singular integral equations with logarithmic kernels"
    Pouria Assari, Mehdi Dehghan
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2018
  32. "Solving weakly singular integral equations utilizing the meshless local discrete collocation technique"
    Pouria Assari
    Alexandria Engineering Journal, 2018
  33. "The thin plate spline collocation method for solving integro-differential equations arisen from the charged particle motion in oscillating magnetic fields"
    Pouria Assari
    ENGINEERING COMPUTATIONS, 2018
  34. "Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method"
    Pouria Assari, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, 2018
  35. "A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions"
    Pouria Assari, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018
  36. "A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions"
    Pouria Assari, Mehdi Dehghan
    APPLIED MATHEMATICS AND COMPUTATION, 2017
  37. "The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method"
    Pouria Assari
    RICERCHE DI MATEMATICA, 2017
  38. "A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions"
    Pouria Assari, Mehdi Dehghan
    European Physical Journal Plus, 2017
  39. "The numerical solution of two‑dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision"
    Pouria Assari, Mehdi Dehghan
    ENGINEERING WITH COMPUTERS, 2017
  40. "A MESHLESS LOCAL DISCRETE GALERKIN (MLDG) METHOD FOR SOLVING NONLINEAR WEAKLY SINGULAR INTEGRAL EQUATIONS"
    Pouria Assari, Mehdi Dehghan
    University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 2017
  41. "A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    NUMERICAL ALGORITHMS, 2014
  42. "The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, 2014
  43. "A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014
  44. "A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013
  45. "A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    APPLIED MATHEMATICAL MODELLING, 2013
  46. "یک روش گلرکین گسسته موضعی بدون شبکه برای حل معادلات دیفرانسیل مربوط به تحول عالم بر پایه تقریب کمترین مربعات متحرک"
    Ali suri, Pouria Assari, Vahid Kamali
    Iranian Journal of Astronomy & Astrophysicانجمن نجوم ایران, 2017

Conference Paper

  1. "Meshless local discrete Galerkin method for solving a system of ordinary di erential equations arisen from cancer cell population growth"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    The 2nd International and 4th National Conference on Biomathematics, 2023
  2. "Solving a population dynamics model using the meshless local discrete Galerkin method"
    Pouria Assari, Mehdi Dehghan, Fatemeh Asadi-Mehregan
    53th annual iranian mathematics conference, 2022
  3. "Solution of delay logistic equation via the local radial basis functions"
    Pouria Assari, Fatemeh Asadi-Mehregan
    The 1st International and 3rd National Conference on Biomathematics, 2022
  4. "The numerical solution of Volterra's population model Based on the collocation method and guassian functions"
    Pouria Assari, Fatemeh Asadi-Mehregan
    2nd national conference on biomathematics, 2020
  5. "Meshless method for solving a equation arisen form the spatial spread of an epidemic"
    Pouria Assari, فاطمه اسدی مهرگان
    First Annual National Conference on Biomathematics, 2019
  6. "A meshless local discrete Galerkin method for solving a class of singular Volterra integral equations"
    Pouria Assari
    The 23rd seminar on mathematics analysis and its applications, 2018
  7. "A meshless discrete Galerkin method for solving singular integral equations arisen from two-dimensional Helmholtz equations"
    Pouria Assari
    48 th annual iranian mathematics conference, 2017
  8. "The Meshless Product Integration (MPI) Method for Solving Logarithmic Volterra Integral Equations"
    Pouria Assari
    The 6th Seminar on Numerical Analysis and Its Applications, 2016
  9. "A Local Discrete Collocation Method for the Numerical Solution of Mixed Volterra-Fredholm Integral Equations"
    Pouria Assari
    2nd National Conference on Mathematics and its Applications Malayer University , Malayer , Iran , May 28 , 2015, 2015