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Pouria Assari

Associate Professor

Update: 2024-11-07

Pouria Assari

Faculty of Basic Sciences / Department of Mathematics

Journal Paper

  1. "An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs"
    سيدعليرضا حسينيان, Pouria Assari, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. , pp.1-24, 2024
  2. "Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method"
    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, Vol. , pp.56-68, 2024
  3. "Local Galerkin Method Based on the Moving Least Squares Approximation for Solving Delay Integral Equations Arisen from an Air Pollution Model"
    سيدعليرضا حسينيان, Pouria Assari, Mehdi Dehghan
    International Journal of Computational Methods, Vol. , pp.1-24, 2023
  4. "On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme"
    Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, Vol. , 2023
  5. "The numerical solution of a mathematical model of the Covid‑19pandemic utilizing a meshless local discrete Galerkin method"
    Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
    ENGINEERING WITH COMPUTERS, Vol. , pp.3327-3351, 2023
  6. "On the approximate solution of dynamic systems derived from the HIVinfection of CD+4 T cells using the LRBF-collocation scheme"
    Fatemeh Asadi-Mehregan, Mehdi Dehghan, Pouria Assari
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, Vol. , pp.39-50, 2023
  7. "The numerical solution of nonlinear delay Volterra integralequations using the thin plate spline collocation methodwith error analysis"
    سيدعليرضا حسينيان, Pouria Assari, Mehdi Dehghan
    COMPUTATIONAL & APPLIED MATHEMATICS, Vol. , pp.1-24, 2023
  8. "A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS"
    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    ANZIAM JOURNAL, Vol. , pp.469-492, 2021
  9. "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, Vol. , pp.21-38, 2021
  10. "Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations"
    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL MATHEMATICS, Vol. , pp.261-282, 2020
  11. "THE NUMERICAL SOLUTION OF NONLINEAR WEAKLY SINGULARFREDHOLM INTEGRAL EQUATIONS BASED ON THEDUAL-CHEBYSHEV WAVELETS"
    Pouria Assari, Mehdi Dehghan
    Applied and Computational Mathematics, Vol. , pp.3-19, 2020
  12. "On the Numerical Solution of Logarithmic BoundaryIntegral Equations Arising in Laplace’s Equations Basedon the Meshless Local Discrete Collocation Method"
    Pouria Assari, Mehdi Dehghan
    Advances in Applied Mathematics and Mechanics, Vol. , pp.807-837, 2019
  13. "The Implication of Local Thin Plate Splines for Solving Nonlinear Mixed Integro-Differential Equations Based on the Galerkin Scheme"
    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    Numerical Mathematics-Theory Methods and Applications, Vol. , pp.1066-1092, 2019
  14. "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, Vol. , pp.276-299, 2019
  15. "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, Vol. , pp.1-28, 2019
  16. "On the numerical solution of nonlinear integral equationson non-rectangular domains utilizing thin plate splinecollocation method"
    Pouria Assari, Mehdi Dehghan
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, Vol. , pp.1-33, 2019
  17. "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, Vol. , 2019
  18. "The Numerical Solution of Fredholm-Hammerstein Integral Equationsby Combining the Collocation Method and Radial Basis Functions"
    Pouria Assari
    Filomat, Vol. , 2019
  19. "On the numerical solution of Fredholm integral equations utilizing the local radial basis function method"
    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, Vol. , 2019
  20. "A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations"
    Pouria Assari, Mehdi Dehghan
    APPLIED MATHEMATICS AND COMPUTATION, Vol. , pp.249-265, 2019
  21. "Local multiquadric scheme for solving two-dimensionalweakly singular Hammerstein integral equations"
    Pouria Assari, Fatemeh Asadi-Mehregan
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, Vol. , pp.1-23, 2019
  22. "Application of dual‑Chebyshev wavelets for the numerical solutionof boundary integral equations with logarithmic singular kernels"
    Mehdi Dehghan, Pouria Assari
    ENGINEERING WITH COMPUTERS, Vol. , 2019
  23. "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, Vol. , 2019
  24. "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, Vol. , 2019
  25. "A Local Galerkin Integral Equation Methodfor Solving Integro-differential EquationsArising in Oscillating Magnetic Fields"
    Pouria Assari, Mehdi Dehghan
    Mediterranean Journal of Mathematics, Vol. , pp.1-21, 2018
  26. "The numerical solution of fractional differential equations usingthe Volterra integral equation method based on thin plate splines"
    Pouria Assari, Salvatore Cuomo
    ENGINEERING WITH COMPUTERS, Vol. , pp.1-18, 2018
  27. "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, Vol. , pp.1706-1726, 2018
  28. "A Meshless Discrete Galerkin Method Based on theFree Shape Parameter Radial Basis Functions forSolving Hammerstein Integral Equations"
    Pouria Assari, Mehdi Dehghan
    Numerical Mathematics-Theory Methods and Applications, Vol. , pp.541-569, 2018
  29. "On the numerical solution of two‑dimensional integral equationsusing a meshless local discrete Galerkin scheme with error analysis"
    Pouria Assari
    ENGINEERING WITH COMPUTERS, Vol. , pp.1-24, 2018
  30. "A meshless Galerkin scheme for the approximate solution ofnonlinear logarithmic boundary integral equations utilizingradial basis functions"
    Pouria Assari, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. , pp.362-381, 2018
  31. "Solving weakly singular integral equations utilizingthe meshless local discrete collocation technique"
    Pouria Assari
    Alexandria Engineering Journal, Vol. , pp.2497-2507, 2018
  32. "A meshless local discrete collocation (MLDC) scheme forsolving 2-dimensional singular integral equations withlogarithmic kernels"
    Pouria Assari, Mehdi Dehghan
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, Vol. , pp.1-23, 2018
  33. "The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions"
    Pouria Assari, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, Vol. , pp.140-157, 2018
  34. "Thin plate spline Galerkin scheme for numerically solvingnonlinear weakly singular Fredholm integral equations"
    Pouria Assari
    APPLICABLE ANALYSIS, Vol. , pp.1-21, 2018
  35. "Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method"
    Pouria Assari, Mehdi Dehghan
    APPLIED NUMERICAL MATHEMATICS, Vol. , pp.137-158, 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, Vol. , pp.424-444, 2017
  37. "A meshless method for the numerical solution of nonlinearweakly singular integral equations using radial basis functions"
    Pouria Assari, Mehdi Dehghan
    European Physical Journal Plus, Vol. , pp.1-23, 2017
  38. "A MESHLESS LOCAL DISCRETE GALERKIN (MLDG) METHOD FORSOLVING NONLINEAR WEAKLY SINGULAR INTEGRAL EQUATIONS"
    Pouria Assari, Mehdi Dehghan
    University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, Vol. , pp.83-92, 2017
  39. "The numerical solution of nonlinear integral equationsof the second kind using thin plate spline discretecollocation method"
    Pouria Assari
    RICERCHE DI MATEMATICA, Vol. , pp.1-21, 2017
  40. "The numerical solution of two‑dimensional logarithmic integralequations on normal domains using radial basis functionswith polynomial precision"
    Pouria Assari, Mehdi Dehghan
    ENGINEERING WITH COMPUTERS, Vol. , pp.1-18, 2017
  41. "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, Vol. , pp.76-93, 2014
  42. "A meshless discrete Galerkin (MDG) method for thenumerical solution of integral equations with logarithmickernels"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. , pp.160-181, 2014
  43. "A meshless method based on the moving least squares(MLS) approximation for the numerical solutionof two-dimensional nonlinear integral equationsof the second kind on non-rectangular domains"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    NUMERICAL ALGORITHMS, Vol. , pp.423-455, 2014
  44. "A numerical method for solving linear integral equationsof the second kind on the non-rectangular domains basedon the meshless method"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    APPLIED MATHEMATICAL MODELLING, Vol. , pp.9269-9294, 2013
  45. "A meshless method for solving nonlinear two-dimensional integralequations of the second kind on non-rectangular domains using radialbasis functions with error analysis"
    Pouria Assari, Hojatollah Adibi, Mehdi Dehghan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. , pp.72-92, 2013
  46. "يك روش گلركين گسسته موضعي بدون شبكه براي حل معادلات ديفرانسيل مربوط به تحول عالم بر پايه تقريب كمترين مربعات متحرك"
    Pouria Assari, Vahid Kamali, Ali suri
    Iranian Journal of Astronomy & Astrophysicانجمن نجوم ایران, Vol. , pp.97-111, 2017

Conference Paper

  1. "Meshless local discrete Galerkin method for solving a system of ordinarydierential equations arisen from cancer cell population growth"
    Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
    The 2nd International and 4th National Conference on Biomathematics, 2023
  2. "Solving a population dynamics model using the meshlesslocal discrete Galerkin method"
    Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
    53th annual iranian mathematics conference, 2022
  3. "Solution of delay logistic equation via the local radial basis functions"
    Fatemeh Asadi-Mehregan, Pouria Assari
    The 1st International and 3rd National Conference on Biomathematics, 2022
  4. "The numerical solution of Volterra's population model Based on thecollocation 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"
    فاطمه اسدي مهرگان, Pouria Assari
    First Annual National Conference on Biomathematics, 2019
  6. "A meshless local discrete Galerkin method for solving a class of singularVolterra integral equations"
    Pouria Assari
    The 23rd seminar on mathematics analysis and its applications, 2018
  7. "A meshless discrete Galerkin method for solving singular integralequations 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 Solutionof Mixed Volterra-Fredholm Integral Equations"
    Pouria Assari
    2nd National Conference on Mathematics and its Applications Malayer University , Malayer , Iran , May 28 , 2015, 2015