OOIR: Observatory of International Research

Papers

(The H4-Index of Numerical Methods for Partial Differential Equations is 31. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)

Article	Citations
A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials	146
A study on fractional host–parasitoid population dynamical model to describe insect species	86
New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques	73
The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation	73
Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators	72
He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space	65
Hall and ion slip effects on magnetohydrodynamic convective rotating flow of Jeffreys fluid over an impulsively moving vertical plate embedded in a saturated porous medium with Ramped wall temperature	65
Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect	57
Analytical and numerical approaches to nerve impulse model of fractional‐order	57
A generalized differential quadrature algorithm for simulating magnetohydrodynamic peristaltic flow of blood‐based nanofluid containing magnetite nanoparticles: A physiological application	55
A mathematical analysis of ongoing outbreakCOVID‐19 in India through nonsingular derivative	55
Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay	54
An efficient computational approach for local fractional Poisson equation in fractal media	52
Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward–downward moving rotating disk	47
European option pricing models described by fractional operators with classical and generalizedMittag‐Lefflerkernels	46
A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 < r < 2 in Banach spaces	46
Boundary layer flow pattern of heat and mass for homogenous shear thinning hybrid‐nanofluid: An experimental data base modeling	45
A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay	45
An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory	42
A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods	41
Mathematical modeling for novel coronavirus (COVID‐19) and control	39
Numerical solutions for solving model time‐fractionalFokker–Planckequation	38
Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel	37
Implicit meshless method to solve 2D fractional stochastic Tricomi‐type equation defined on irregular domain occurring in fractal transonic flow	36
New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2	35

Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2	35
Generalized differential quadrature scrutinization of an advanced MHD stability problem concerned water‐based nanofluids with metal/metal oxide nanomaterials: A prop	35
Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features	34
Linear barycentric rational collocation method for solving heat conduction equation	34
A novel numerical manner for two‐dimensional space fractional diffusion equation arising in transport phenomena	33
Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: The case of blood‐gold Carreau nanofluid a	32
Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces an	31