Application of the Exp<inline-formula><math display="inline"><semantics><mrow><mfenced><mrow><mo>−</mo><mi>φ</mi><mfenced><mi>ξ</mi></mfenced></mrow></mfenced></mrow></semantics></... by Attia Rani, Muhammad Shakeel, Mohammed Kbiri Alaoui, Ahmed M. Zidan, Nehad Ali Shah, Prem Junsawang

Subjects: “…nonlinear partial differential equations…”
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Novel Soliton Solutions of the Fractional Riemann Wave Equation via a Mathematical Method by Shumaila Naz, Attia Rani, Muhammad Shakeel, Nehad Ali Shah, Jae Dong Chung

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Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods by Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov

Subjects: “…nonlinear partial differential equations…”
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Stability Analysis and Computational Interpretation of an Effective Semi Analytical Scheme for Fractional Order Non-Linear Partial Differential Equations by Javed Iqbal, Khurram Shabbir, Liliana Guran

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Simulation of a gas-condensate mixture passing through a porous medium in depletion mode by Alina V. Volokhova, Elena V. Zemlyanaya, Vladimir V. Kachalov, Victor S. Rikhvitsky, Vadim N. Sokotushchenko

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A Complete Procedure for a Constraint-Type Fictitious Time Integration Method to Solve Nonlinear Multi-Dimensional Elliptic Partial Differential Equations by Yung-Wei Chen, Jian-Hung Shen, Yen-Shen Chang, Ching-Chuan Tan

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Complex solutions for nonlinear fractional partial differential equations via the fractional conformable residual power series technique and modified auxiliary equation method by Asghar Ali, Anam Nigar, Muhammad Nadeem, Muhammad Yousuf Jat Baloch, Atiya Farooq, Abdulwahed Fahad Alrefaei, Rashida Hussain

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A comparative analytical investigation for some linear and nonlinear time-fractional partial differential equations in the framework of the Aboodh transformation by Saima Noor, Saima Noor, Wedad Albalawi, Rasool Shah, Ahmad Shafee, Sherif M. E. Ismaeel, Sherif M. E. Ismaeel, S. A. El-Tantawy, S. A. El-Tantawy

Subjects: “…linear and nonlinear partial differential equations…”
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Accelerated HPSTM: An efficient semi-analytical technique for the solution of nonlinear PDE’s by Grover Deepak, Sharma Dinkar, Singh Prince

“…In order to affirm the effectiveness and legitimacy of proposed method, the proposed technique is implemented on nonlinear partial differential equation (PDE) with proportional delay. …”
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Discontinuous Galerkin finite element approximation of the two-dimensional Navier-Stokes equations in stream-function formulation by Mozolevski, I, Sueli, E, Boesing, P

“…Using a stream-function formulation, which ensures that the incompressibility constraint is automatically satisfied, we reduce the system of Navier-Stokes equations to a single fourth-order nonlinear partial differential equation. We introduce a discretization of this fourth-order nonlinear partial differential equation based on a combination of the symmetric DGFEM for the biharmonic part of the equation and a DGFEM with jump-penalty terms for the hyperbolic part of the problem, and then we solve the resulting nonlinear problem using Newton's method. …”

Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line by &#193;rciga A Mart&#237;nP

“…<p/> <p>We consider the initial-boundary value problem for a nonlinear partial differential equation with module-fractional derivative on a half-line. …”
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Spreading of charged micro-droplets by Joseph Iaia

“…This leads to a third order nonlinear partial differential equation that gives the evolution of the height profile. …”
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Nonlinear initial boundary-value problems with Riesz fractional derivative by Martin P. Arciga-Alejandre

“…We consider an initial boundary-value problem for a nonlinear partial differential equation with fractional derivative of Riesz type on a half-line. …”
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Technique for 3D shape reconstruction of spherical and aspheric surfaces using deflectometric principle by Novák P., Novák J., Mikš A.

“…It is presented that a surface reconstruction problem leads to a theoretical description by a nonlinear partial differential equation. Then, a surface shape can be calculated by solution of a derived equation. …”
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ON THE ELASTIC-PLASTIC TORSION OF A BAR MADE OF WORK HARDENING MATERIAL by Yaşar PALA

“…In this study, we reconsider the problem of an elastic-plastic torsion of a bar made of work hardening material. Nonlinear partial differential equation derived is reduced to a well known Laplace equation by means of transformation functions and stresses &amp;#964; xz, &amp;#964; yz and the torque T are analytically found for elliptical and circular cross sections. …”
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Hedging with Liquidity Risk under CEV Diffusion by Sang-Hyeon Park, Kiseop Lee

“…The pricing equation becomes a nonlinear partial differential equation, and we solve it by a multi scale perturbation method. …”
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Multiple solutions of the Kirchhoff-type problem in RN by Jin Jiahua

“…Besides, we also take this problem as an example to give the main frame of using critical point theory to find the weak solutions of nonlinear partial differential equation.…”
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An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients by Yulan Wang

“…It is worthy to note that our method can be employed to solve singularly-boundary value problems of a nonlinear partial differential equation with variable coefficients. …”
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Numerical Simulation of a Nonlinear Problem Arising in Heat Transfer and Magnetostatics by María González, Hiram Varela

“…We present a numerical model that comprises a nonlinear partial differential equation. We apply an adaptive stabilised mixed finite element method based on an a posteriori error indicator derived for this particular problem. …”
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A Stochastic Approach for Parameterizing Unresolved Scales in a System with Memory by Aijun Du, Jinqiao Duan

“…One stochastic parameterization scheme is devised to take the effects of unresolved scales into account, in the context of solving a nonlinear partial differential equation with memory (a time-integral term), via large eddy simulations. …”
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